Let p(x) be a polynomial with 4, (x - 1), (3 - x), and (x2 - 2) as four of its
factors. Select each statement that is true for all such polynomials p(x).
The polynomial p(x) must have 0 as a zero.
The polynomial p(x) must have 1 as a zero.
The polynomial p(x) must have 2 as a zero.
The polynomial p(x) must have 3 as a zero.
The polynomial p(x) must have 4 as a zero.

Answers

Answer 1

Answer:

1

Step-by-step explanation:

Answer 2

The degree of the polynomial is 4. Then the number of zeroes of the polynomial is 4. Then the correct option is E.

How to get polynomials with zeroes?

Let a, b, c, and d are the zeroes of the polynomial.

Then the polynomial is given as,

⇒ (x - a)(x - b)(x - c)(x - d)

The degree of the polynomial will be greater than or equal to the number of zeroes.

Let p(x) be a polynomial with 4, (x - 1), (3 - x), and (x² - 2) as four of its factors. Then the polynomial is given as,

p(x) = 4(x - 1)(3 - x)(x² - 2)

The degree of the polynomial is 4. Then the number of zeroes of the polynomial is 4. Then the correct option is E.

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Related Questions

Write this equation in slope-intercept form.
5x + 5y = 15

Answers

Answer:

y=-x+3

Step-by-step explanation:

Answer: y= -x+3

Step-by-step explanation:

A rectangular bin with an open top and volume of 38.72 cubic feet is to be built. The length of its base must be twice the width and the bin must be at least 3 feet high. Material for the base of the bin costs $12 per square foot and material for the sides costs $8 per square foot. If it costs $538.56 to build the bin, what are its dimensions?

Answers

Answer:

Width=2.2 FT

Length=4.4 FT

Heigh= 4 FT

Step-by-step explanation:

Answer

Width=2.2 FT

Length=4.4 FT

Heigh= 4 FT

Step-by-step explanation:

took test edge 2020

I need help with this fast

Answers

it whould be -1.5 for and 0.5

2/6

Step-by-step explanation:

The two points are -3/6 and 5/6. Subtract -3 - 5 and it's 2. 2/6 :)

A sound wave travels through iron at a rate of 5120\,\dfrac{\text{m}}{\text{s}}5120

s

m

​ 5120, space, start fraction, m, divided by, s, end fraction.

At what rate does the sound wave travel in \dfrac{\text{km}}{\text{h}}

h

km

​ start fraction, k, m, divided by, h, end fraction?


Answers

Answer:

[tex]18432\,km/h[/tex]

Step-by-step explanation:

Given: A sound wave travels through iron at a rate of [tex]5120\,m/s[/tex]

To find: rate at which the sound wave travel in [tex]km/h[/tex]

Solution:

Use the following units conversions.

[tex]1\,m=\frac{1}{1000}\,km[/tex]

[tex]1\,s=\frac{1}{3600}\,h[/tex]

Now convert [tex]5120\,m/s[/tex] into [tex]km/h[/tex]

Therefore,

[tex]5120\,m/s=(\frac{5120}{1000})(3600)\\ =512(36)\\=18432\,km/h[/tex]

Answer:

18432 is the answer

Step-by-step explanation:

I took quiz on khan academy

Algebra 2 is confusing! Will mark you brainliest! Pls help!

Write an equation, solve it, then answer the question.

1) twice a number increased by 5 is 31. what is the number?

2) The quotient of a number and 3 is 12. What is the number?

3) 18 is 6 times the difference of a number and 7. What is the number?

4) 25 less than a number is 41. What is the number?

Answers

Answer: 1.6

2.12

3.13

4.2

Step-by-step explanation:

given that 3x-y : x+2y = 2 : 5, Determine the ratio x:y

Help please with working becoz I have scholarship exam tomorrow ​

Answers

Answer:

x : y = 9 : 13

Step-by-step explanation:

Given that

3x - y : x + 2y = 2 : 5

Express the ratio in fractional form, that is

[tex]\frac{3x-y}{x+2y}[/tex] = [tex]\frac{2}{5}[/tex] ( cross- multiply )

5(3x - y) = 2(x + 2y) ← distribute parenthesis on both sides )

15x - 5y = 2x + 4y ( subtract 2x from both sides )

13x - 5y = 4y ( add 5y to both sides )

13x = 9y ( divide both sides by 13 )

x = [tex]\frac{9}{13}[/tex] y ( divide both sides by y )

[tex]\frac{x}{y}[/tex] = [tex]\frac{9}{13}[/tex] , that is

x : y = 9 : 13

please help 10x+8 =12x-18

Answers

Answer:  13

Step-by-step explanation:

10x+8=12x−18

Step 1: Subtract 12x from both sides.

10x+8−12x=12x−18−12x

−2x+8=−18

Step 2: Subtract 8 from both sides.

−2x+8−8=−18−8

−2x=−26

Step 3: Divide both sides by -2.

−2x - 2

=

−26-2

So , x=13

Hoped I helped -

Sleepy~

Answer: [tex]x[/tex] = 13

1. 10[tex]x[/tex] + 8 − 12[tex]x[/tex] = 12[tex]x[/tex] − 18 − 12[tex]x[/tex]

  −2[tex]x[/tex] + 8 = −18

2. −2[tex]x[/tex] + 8 − 8 = −18 − 8

   −2[tex]x[/tex] = −26

3. Split both sides by 2.

x = 13

Write 180 as a product of prime numbers.

Answers

Answer:

5 x 2 x 2 x 3 x 3

Step-by-step explanation:

Cameras R Us has a sale for 25% off camera bags, which is a discount of $20. To find the original cost of the camera bag, Tara creates the following diagram.

A 2-column table with 6 rows. Column 1 has entries 20 percent, 20 percent, 20 percent, 20 percent, 20 percent, Total 100 percent. Column 2 has entries 25 dollars, 25 dollars, 25 dollars, 25 dollars, 25 dollars, blank total.

What errors did Tara make in her diagram? Check all that apply.
There should be 5 rows labeled 20%.
The 25 should be for each percent, not dollar amounts.
The percents do not add up to a whole of 100%.
There should be 4 columns of 25% that each equal $20.

Answers

Answer:

B and D.

Step-by-step explanation: Just took the test.

Answer:

it is b and d trust

Step-by-step explanation:

edge2020

what is the answer to 7 (x-3) -2

Answers

Answer:

Hi there!

Your answer is;

x = 3 & 2/7ths

Step-by-step explanation:

7(x-3)-2

7x -21 -2

7x -23

The simplified equation is 7x-23

To solve for x:

7x-23

+23

7x= 23

/7

x = 3 & 2/7ths

Hope this helps

Answer:

7x - 23

Step-by-step explanation:

7(x-3) -2    Use distributive property

7x - 21 - 2       combine like terms.

7x - 23    <----- This is your answer

write a equation of the line that passes through (2,1) and has a slope of 3

Answers

Answer:

The equation is y=3x-5.

I need help on this........

Answers

Hope this helps you understand better!

Express as a trinomial (x+6)(3x-2)

Answers

A trinomial is an algebraic expression with 3 terms

To express (x+6)(3x-2) as a trinomial, we expand the brackets

(x + 6) (3x - 2)

x (3x - 2) + 6 (3x - 2)

3x² - 2x + 18x - 12

3x² + 16x - 12

Therefore, (x + 6) (3x - 2) as a trinomial is 3x² + 16x - 12

To learn more, visit the link below:

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No real numbers are irrational numbers.
True
False

Answers

Answer:

  FALSE

Step-by-step explanation:

√2 is both real and irrational. In infinite number of real numbers are irrational. The offered statement is False.

Alicia works out 7.5+4.8 in her head

Answers

Answer:

12.3

Step-by-step explanation:

Give the reciprocal of
6/24

Answers

Answer:

-24/6

Step-by-step explanation:

Answer:

-24/6 = -4

Step-by-step explanation:

-24/6 =- 4

Help me out please I’m kinda trash at math

Answers

Answer:

regular tickets: 785

VIP tickets: 25

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Hope this helps....also I love your name lol

2
Select the correct answer.
Solve the equation by completing the square.
X^2 – 183 + 58 = 0

Answers

Answer:

X^2 = 0 - 125

X^2 = -125

x = [tex]\sqrt{-125}[/tex]

x = [tex]-5\sqrt{5}[/tex]

3. The speed limit on many interstate highways in the United States is 65 miles per hour. How many

kilometers per hour is that? (1 mile = 1.61 km)

flat How many miles did Mr. P run?

(1 mile =

Answers

The correct answer will be 1.61 km

How can you tell if a partitioning problem is giving you "part to part" or "part to whole"?

Answers

Answer:

Part-to-part ratios provide the relationship between two distinct groups. For example, the ratio of men to women is 3 to 5, or the solution contains 3 parts water for every 2 parts alcohol.

Part-to-whole ratios provide the relationship between a particular group and the whole populations (including the particular group). For example, 3/5 of the students in the class are girls, or the mixture is 40% rye grass (40% is equivalent to saying 40 of every 100 parts).

Please solve these questions

Answers

Answer:

36°

Step-by-step explanation:

[tex]sector \: \angle = \frac{20}{200} \times 360 \degree \\ \\ = \frac{1}{10} \times 360 \degree \\ \\ = 36 \degree[/tex]

ASAP HELPPP PLZZZZZ hurry plzzz

Answers

Answer:

It's an enlargement

Step-by-step explanation:

e.g. when your pupils become dilated they enlarge

Answer: a reduction

Step-by-step explanation: because it creates a smaller image it is considered a reduction

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

reflects about a line such that N is the reflection of B and O is the reflection of C. Point N is shown on the coordinate plane, but point O is not.
The coordinates of point O are (, ).

Answers

Answer:

(6,5)

Step-by-step explanation:

The coordinates of point O are (6, 5) if reflects a line such that N is the reflection of B and O is the reflection of C.

What is geometric transformation?

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have:

Reflects a line such that N is the reflection of B and O is the reflection of C.

From Point C, a vertical line should be drawn downward.

Both of these lines will come together at (6, 5). These will be Point O's coordinates.

Thus, the coordinates of point O are (6, 5) if reflects a line such that N is the reflection of B and O is the reflection of C.

Learn more about the geometric transformation here:

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what is 5(x-6)=2(x+3)

Answers

Answer:

x = 12

Step-by-step explanation:

Given

5(x - 6) = 2(x + 3) ← distribute parenthesis on both sides

5x - 30 = 2x + 6 ( subtract 2x from both sides )

3x - 30 = 6 ( add 30 to both sides )

3x = 36 ( divide both sides by 3 )

x = 12

Maria bought a blouse on sale for 30% off. The sale price was $27.76. What was the original
price? Write an equation to model the situation and solve it. Use variable p for the original
price. Round to the nearest hundredth.

Answers

Answer:

$19.43

Step-by-step explanation:

p x 0.30= 8.328

p - 8.328= 19.432

Answer: $19.43

What's the answer?????????????

Answers

Answer:

BD = 12 :)

Step-by-step explanation:

Alright, we'll need the Pythagorean theorem for this!

So, the length of AC is 10. That means the lengths of AD and DC are both half of that, which is 5 :)

DC = 5

We already know that BC = 13, so we can plug in these values into the pythagorean theorem for the right triangle BDC:

BD^2 + DC^2 = BC^2

BD^2 + 5^2 = 13^2

BD^2 + 25 = 169

BD^2 = 169 - 25 = 144

BD = √144 = 12 :)

Where is the dot on the line?

Answers

Answer:

it is c square root of 43 is 6.5574385243

Step-by-step explanation:

i need help on all these, plss !!​

Answers

Answer:

8a) 100,90,110,70, 130

8b) 110, 100,120,80,140

8c)110

8d) Once you added 10 to each number the mean had a value of +10

8e) Make 8 points higher on each test.

Step-by-step explanation:

Hope this helps and have a great day!!



The magnitude of a ra representation of a number as the product of a number that is greater than or equal to 1 but less than

10 and an integer power of 10eal number without regard to its sign.

A. Estimate

B. Integers

C. Scientific Notation

D. Standard Form

Answers

Answer:

C. Scientific Notation

Step-by-step explanation:

Since the number in question is greater than or equal to 1 but less than

10, we can choose any number between 1 and 10, lets take 3 for example.

If we take the product of 3 and an integer power of 10 number without regard to its sign, this can be expressed mathematically as shown;

[tex]3 * 10^{-5}[/tex] where the power of 10 is -5. Note that any  real number can be used as the power since we are not regarding the sign (Here we used -5). The expression formed according to the expression in question is a SCIENTIFIC NOTATION i.e [tex]3 * 10^{-5}[/tex] gives us a scientific notation.

Scientific notation is a means by which we represent very large or small numbers that are difficult to represent using a decimal notation

The average distance from the sun to the planet Mercury is about 58,000,000 km. The diameter of a
human hair is about 0.0025 cm. What is the distance from the sun to Mercury written in scientific notation? show your work on a peace of paper please~!

50+ points!~

Answers

Answer:

1) [tex]5.8\times 10^7\text{ km}[/tex]

2) [tex]2.5\times 10^{-3}\text{ cm}[/tex]

Step-by-step explanation:

To put a value into scientific notation, we need to:

1) Move to decimal place such that our new value is between 1 and 10 and

2) Multiply by 10^n, where n is the amount of spaces moved. If we moved to the left, n is positive. If we move to the right, n is negative.

1)

We have:

[tex]58,000,000[/tex]

We can view this as:

[tex]58,000,000.0[/tex]

Our new value should be between 1 and 10.

58000000

So, let's move our decimal 7 places to the left. This gives us:

[tex]5.8000000[/tex]

Since we moved 7 to the left, we need to multiply by 10^7. Note that the 7 is positive. So:

[tex]=5.8000000\times 10^7[/tex]

We can remove the trailing zeros and add our unit:

[tex]=5.8\times 10^7\text{ km}[/tex]

2)

We have:

[tex]0.0025[/tex]

Our new value should be between 1 and 10. So, move the decimal places 3 units to the right. This yields:

[tex]2.5[/tex]

Since we moved 3 to the right, we need to multiply by 10^(-3). This time, note that our exponent is negative. So:

[tex]=2.5\times 10^{-3}[/tex]

Add our unit:

[tex]=2.5\times 10^{-3}\text{ cm}[/tex]

And we're done!

Answer: 1)  58 x 10⁶ km2)  2.5 x 10⁻³ cm

Step-by-step explanation:

1. 58,000,000 km

2. 0.0025 cm

write in scientific notation:

1)

it would be more easier to read a notation in every 3 decimal places like thousands, millions, billions, etc.

we have 58,000,000 (note where the comma is placed) count every 3 to the left. just multiply by 10^6.

= 58 x 10⁶ km

2) 0.0025 (move 3 decimal places to the right)

= 2.5 x 10⁻³ cm

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