91Ó°ÊÓ

For Problems \(1-36\), find each product. $$ \left(-6 x^{2}\right)\left(3 x^{3}\right)\left(x^{4}\right) $$

For Problems \(21-24\), state if the polynomial is factored completely. (Objective 3 ) $$ 10 m^{2} n^{3}+15 m^{4} n^{2}=5 m^{2} n\left(2 n^{2}+3 m^{2} n\right) $$

For Problems \(21-30\), subtract the polynomials using the horizontal format. (Objective 2) $$ -4 a-5 \text { from } 6 a+2 $$

For Problems \(21-44\), factor each of the following polynomials completely. Indicate any that are not factorable using integers. Don't forget to look first for a common monomial factor. (Objective 1) $$ 7 x^{2}+28 $$

For Problems \(1-30\), factor completely each of the trinomials and indicate any that are not factorable using integers. $$ t^{2}-2 t-143 $$

For Problems \(1-54\), solve each equation. You will need to use the factoring techniques that we discussed throughout this chapter. (Objective 1) $$ 3 w^{3}-24 w^{2}+36 w=0 $$

For Problems \(1-36\), find each product. $$ \left(-7 x^{2}\right)(3 x)\left(4 x^{3}\right) $$

For Problems \(21-24\), state if the polynomial is factored completely. (Objective 3 ) $$ 24 a b+12 b c-18 b d=6 b(4 a+2 c-3 d) $$

For Problems \(21-30\), subtract the polynomials using the horizontal format. (Objective 2) $$ 5 a+7 \text { from }-a-4 $$

For Problems \(21-30\), subtract the polynomials using the horizontal format. (Objective 2) $$ 3 x^{2}=x+2 \text { from } 7 x^{2}+9 x+8 $$