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P5.6: Dividing Polys / Remainder Theorem

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Last updated almost 4 years ago
12 questions
Note from the author:
Watch this video for a review of dividing polynomials.
Watch this video for a review of dividing polynomials with a missing term.
Watch this video for a review of dividing polynomials.
Watch this video for a review of dividing polynomials with a missing term.
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Question 1
1.

Use factoring to simplify the quotient.

\frac{x^{2}+8x-84}{x-6}

Your answer should be a binomial, no spaces.

Question 2
2.

Use factoring to simplify the quotient.

\frac{6a^{2}+11a-10}{3a-2}

Your answer should be a binomial, no spaces.

Question 3
3.

Use long or synthetic division to find the quotient.

\frac{n^{2}+11n+25}{n+5}

Do not put spaces in your answer. Write the terms in standard form order (by decreasing degree/power). Your last term should be in fraction form.

Question 4
4.

Use long or synthetic division to find the quotient.

\frac{y^{2}-3y-20}{y-7}

Do not put spaces in your answer. Write the terms in standard form order (by decreasing degree/power). Your last term should be in fraction form.

Question 5
5.

Use long or synthetic division to find the quotient.

\frac{3k^{2}-k-20}{k+2}

Do not put spaces in your answer. Write the terms in standard form order (by decreasing degree/power). Your last term should be in fraction form.

Question 6
6.

Use long or synthetic division to find the quotient.

\frac{w^{3}-2w^{2}-2w+1}{w-1}

Do not put spaces in your answer. Write the terms in standard form order (by decreasing degree/power). Your last term should be in fraction form.

Question 7
7.

Use long or synthetic division to find the quotient.

\frac{2x^{3}-14x+10}{x+3}

Do not put spaces in your answer. Write the terms in standard form order (by decreasing degree/power). Your last term should be in fraction form.

Question 8
8.

Use long or synthetic division to find the quotient.

\frac{m^{3}-12m^{2}+33m}{m-5}

Do not put spaces in your answer. Write the terms in standard form order (by decreasing degree/power). Your last term should be in fraction form.

Question 9
9.

Use long or synthetic division to find the quotient.

\frac{x^{4}-2x^{3}-29x^{2}-43x+8}{x-7}

Do not put spaces in your answer. Write the terms in standard form order (by decreasing degree/power). Your last term should be in fraction form.

Question 10
10.

Use long or synthetic division to find the quotient.

\frac{p^{4}-7p^{2}-32p-15}{p-4}

Do not put spaces in your answer. Write the terms in standard form order (by decreasing degree/power). Your last term should be in fraction form.

Question 11
11.

Use long or synthetic division to find the quotient.

\frac{x^{3}+2x^{2}-22x-45}{x+5}

Do not put spaces in your answer. Write the terms in standard form order (by decreasing degree/power). Your last term should be in fraction form.

Question 12
12.

Use long or synthetic division to find the quotient.

\frac{p^{4}-7p^{2}-32p-15}{p-4}

Do not put spaces in your answer. Write the terms in standard form order (by decreasing degree/power). Your last term should be in fraction form.