This work shows $$x^2-3x+5\div x-2$$ . What information does this reveal?

x-2 is not a factor of $$x^2-3x+5$$ since the remainder is 3.

x-2 is a factor of $$x^2-3x+5$$ since the remainder is 3.

This work shows $$x^2-3x+5\div x-2$$ . What information does this reveal?

2 is not a solution of $$x^2-3x+5$$ since the remainder is 3.

2 is a solution of $$x^2-3x+5$$ since the remainder is 3.

is a solution of $$5x^2-10x-40$$

Which statement accurately describes what this work demonstrates?

x+6 is not a factor of $$x^3-x^2-40x\ +13$$ .

x+6 is a factor of $$x^3-x^2-40x\ +13$$ .

x-6 is not a factor of $$x^3-x^2-40x\ +13$$ .

x-6 is a factor of $$x^3-x^2-40x\ +13$$ .

Complete the problem shown here. Use the remainder to determine whether 5 is a solution of $$p\left(x\right)=2x^3-12x^2+11x-5$$ .

5 is a solution of p(x) since the remainder is 0.

5 is a solution of p(x) since the remainder is 100.

5 is not a solution of p(x) since the remainder is 0.

5 is not a solution of p(x) since the remainder is 100.

Complete the problem shown here. Use the remainder to determine whether x-5 is a solution of $$p\left(x\right)=2x^3-12x^2+11x-5$$ .

x-5 is a factor of p(x) since 5 was a solution.

x-5 is not a factor of p(x) since 5 was not a solution.

x+5 is not a factor of p(x) since 5 was not a solution.

x+5 is a factor of p(x) since 5 was a solution.

The work here shows that dividing $$x^2+16$$ by x+4 results in a remainder of 32. Which statement is true based upon that work shown here?

x+4 is not a factor of $$x^2+16$$

x-4 is not a factor of $$x^2+16$$

Complete the synthetic division and use the remainder to determine a true statement concerning p(x) and its solutions.

-2 is not a solution of p(x) since the remainder is equal to 33.

-2 is a solution of p(x) since the remainder is equal to 0.

-2 is not a solution of p(x) since the remainder is equal to 1.

2 is not a solution of p(x) since the remainder is equal to -1.

Based on the remainder you found, which statement is true?

3 is not a solution of $$2x^3-15x+9$$ .

3 is a solution of $$2x^3-15x+9$$ .

-3 is a solution of $$2x^3-15x+9$$ .

-3 is not a solution of $$2x^3-15x+9$$ .

Based on the remainder you found, which statement is true?

x-3 is not a factor of $$2x^3-15x+9$$ .

x-3 is a factor of $$2x^3-15x+9$$ .

x+3 is not a factor of $$2x^3-15x+9$$ .

x+3 is a factor of $$2x^3-15x+9$$ .

Finish dividing $$p\left(x\right)=5x^3+34x^2+26x+C$$ by x+6. Determine what value C must equal if x+6 is a factor of p(x).

C would need to be equal to 12.

C would need to be equal to -12.

C would need to be equal to 300.

Remainder Theorem and Factor Theorem

Quiz

•

Mathematics

•

10th - 11th Grade

•

Practice Problem

•

Medium

•

CCSS

HSA.APR.D.6, HSA.APR.B.2, HSF-IF.C.7C

Standards-aligned

William Rodgers

Used 182+ times

FREE Resource

20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

2 mins • 5 pts

Yes, x-3 is a factor of p(x) since the remainder is 0.

No, x-3 is not a factor of p(x) since the remainder is 0.

Tags

CCSS.HSA.APR.D.6

2.

MULTIPLE CHOICE QUESTION

2 mins • 5 pts

Tags

CCSS.HSA.APR.D.6

3.

MULTIPLE CHOICE QUESTION

2 mins • 5 pts

Tags

CCSS.HSA.APR.D.6

4.

MATCH QUESTION

15 mins • 5 pts

Match the following appropriately.
It is important you can recognize the connection between factors and solutions.

x is a factor of p(x).

0 is a solution of p(x).

2x - 3 is a factor of p(x).

3/2 is a solution of p(x).

x - 3 is a factor of p(x).

3 is a solution of p(x).

x-1 is a factor of p(x).

1 is a solution of p(x).

Tags

CCSS.HSF-IF.C.7C

5.

MATCH QUESTION

3 mins • 5 pts

Match the following appropriately.
It is important you can recognize the connection between factors and solutions.

5 is a solution of p(x).

3x - 5 is a factor of p(x).

-5 is a solution of p(x).

x + 5 is a factor of p(x).

-3 is a solution of p(x).

x + 3 is a factor of p(x).

5/3 is a solution of p(x).

x - 5 is a factor of p(x).

Tags

CCSS.HSA.APR.B.2

6.

MULTIPLE CHOICE QUESTION

1 min • 5 pts

1 is a solution of p(x)

1 is not a solution of p(x)

x -1 is a factor of p(x)

x+1 is not a factor of p(x)

Tags

CCSS.HSA.APR.D.6

7.

MATCH QUESTION

1 min • 5 pts

Match the following:

The remainder is...

x + 2...

x+2

-2...

The work provided shows the polynomial 5x² - 10x - 40 being divided by...

0

Tags

CCSS.HSA.APR.D.6

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Match the following appropriately. It is important you can recognize the connection between factors and solutions.

Match the following appropriately. It is important you can recognize the connection between factors and solutions.

Match the following:

Which statement accurately describes what this work demonstrates?

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Match the following appropriately.
It is important you can recognize the connection between factors and solutions.

Match the following appropriately.
It is important you can recognize the connection between factors and solutions.