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P5.6: Dividing Polys / Remainder Theorem
By Katherine Rorabaugh
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Last updated about 4 years ago
12 questions
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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.
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.