91Ó°ÊÓ

For the following exercises, use the Remainder Theorem to find the remainder. $$ \left(x^{4}+5 x^{3}-4 x-17\right) \div(x+1) $$

For the following exercises, use the Remainder Theorem to find the remainder. $$ \left(-3 x^{2}+6 x+24\right) \div(x-4) $$

For the following exercises, use the Remainder Theorem to find the remainder. $$ \left(5 x^{5}-4 x^{4}+3 x^{3}-2 x^{2}+x-1\right) \div(x+6) $$

For the following exercises, use the Remainder Theorem to find the remainder. $$ \left(x^{4}-1\right) \div(x-4) $$

For the following exercises, use the Remainder Theorem to find the remainder. $$ \left(3 x^{3}+4 x^{2}-8 x+2\right) \div(x-3) $$

For the following exercises, use the Remainder Theorem to find the remainder. $$ \left(4 x^{3}+5 x^{2}-2 x+7\right) \div(x+2) $$

For the following exercises, use the Factor Theorem to find all real zeros for the given polynomial function and one factor. $$ f(x)=2 x^{3}-9 x^{2}+13 x-6 ; x-1 $$

For the following exercises, use the Factor Theorem to find all real zeros for the given polynomial function and one factor. $$ f(x)=2 x^{3}+x^{2}-5 x+2 ; x+2 $$

For the following exercises, use the Factor Theorem to find all real zeros for the given polynomial function and one factor. $$ f(x)=3 x^{3}+x^{2}-20 x+12 ; x+3 $$

For the following exercises, use the Factor Theorem to find all real zeros for the given polynomial function and one factor. $$ f(x)=2 x^{3}+3 x^{2}+x+6 ; \quad x+2 $$