Chapter 10

Find the greatest common factor of the terms and factor it out of the expression. \(4 a^{2}-8 a^{5}\)

Factor the trinomial. $$ m^{2}-7 m-30 $$

Tell whether the expression is the square of a binomial. $$ n^{2}-18 n+81 $$

Use the zero-product property to solve the equation. \((z+2)(z+3)=0\)

Find the product. $$ (2 x-5)(-4 x) $$

Factor the trinomial. $$ 2 x^{2}-x-3 $$

State the degree of the monomial. $$ -c^{3} $$

Factor the expression. $$ 49-a^{2} $$

Find the greatest common factor of the terms and factor it out of the expression. \(24 t^{5}+6 t^{3}\)

Factor the trinomial. $$ w^{2}+13 w+36 $$

Tell whether the expression is the square of a binomial. $$ b^{2}+22 b+121 $$

Use the zero-product property to solve the equation. \((v-7)(v-5)=0\)

$$ 3 t^{2}\left(7 t-t^{3}-3\right) $$

Factor the trinomial. $$ 3 t^{2}+16 t+5 $$

State the degree of the monomial. $$ -100 w^{4} $$

Factor the expression. $$ 81-x^{2} $$

Find the greatest common factor of the terms and factor it out of the expression. \(15 x^{3}-5 x^{2}-10 x\)

Factor the trinomial. $$ b^{2}+3 b-40 $$

Write the product of the sum and difference. $$ (x+5)(x-5) $$

Use the zero-product property to solve the equation. \((w-17)^{2}=0\)

$$ 2 x\left(x^{2}-8 x+1\right) $$

Factor the trinomial. $$ 5 x^{2}+2 x-3 $$

Write the polynomial in standard form. Then identify the polynomial by degree and by the number of terms. $$ 2 x $$

Factor the expression. $$ 36 x^{2}+25 $$

Find the greatest common factor of the terms and factor it out of the expression. \(4 a^{5}+8 a^{3}-2 a^{2}\)

Solve the equation by factoring. $$ x^{2}+7 x+10=0 $$

Write the product of the sum and difference. $$ (y-1)(y+1) $$

Use the zero-product property to solve the equation. \(p(2 p+1)=0\)

$$ (-y)\left(6 y^{2}+5 y\right) $$

Factor the trinomial. $$ 6 a^{2}+5 a+1 $$

Write the polynomial in standard form. Then identify the polynomial by degree and by the number of terms. $$ 20 m^{3} $$

Factor the expression. $$ w^{2}-9 y^{2} $$

Find the greatest common factor of the terms and factor it out of the expression. \(18 d^{6}-6 d^{2}+3 d\)

Solve the equation by factoring. $$ x^{2}+5 x-14=0 $$

Write the product of the sum and difference. $$ (2 m+2)(2 m-2) $$

Use the zero-product property to solve the equation. \(4(c+9)^{2}=0\)

$$ 4 w^{2}\left(3 w^{3}-2 w^{2}-w\right) $$

Factor the trinomial. $$ 5 w^{2}-9 w-2 $$

Write the polynomial in standard form. Then identify the polynomial by degree and by the number of terms. $$ 7-3 w $$

Factor the expression. $$ 25 s^{2}-16 t^{2} $$

Factor the expression. \(x^{2}+2 x+x y+2 y\)

Solve the equation by factoring. $$ x^{2}+6 x+9=0 $$

Write the product of the sum and difference. $$ (3 b-1)(3 b+1) $$

Use the zero-product property to solve the equation. \((z+9)(z-11)=0\)

$$ -b^{2}\left(6 b^{3}-16 b+11\right) $$

Factor the trinomial. $$ 6 b^{2}-11 b-2 $$

Write the polynomial in standard form. Then identify the polynomial by degree and by the number of terms. $$ -16 $$

PERFECT SQUARES Factor the expression. $$ x^{2}+8 x+16 $$

Factor the expression. \(a^{2}+3 a+a b+3 b\)

Solve the equation by factoring. $$ x^{2}+16 x+15=0 $$