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.

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 $$x^2+16$$

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

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.

Synthetic Division, Remainder Theorem and Factor Theorem

Authored by Anthony Clark

Mathematics

12th Grade

CCSS covered

Synthetic Division, Remainder Theorem and Factor Theorem

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15 questions

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

Tags

CCSS.HSA.APR.D.6

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Tags

CCSS.HSA.APR.D.6

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Tags

CCSS.HSA.APR.D.6

MULTIPLE CHOICE QUESTION

1 min • 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

MULTIPLE CHOICE QUESTION

1 min • 5 pts

Tags

CCSS.HSA.APR.D.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

MULTIPLE SELECT QUESTION

1 min • 5 pts

x-7 is a factor of p(x).

x+7 is a factor of p(x).

-7 is a solution of p(x).

7 is a solution of p(x).

Tags

CCSS.HSA.APR.B.2

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