Chapter 10

Tell whether the expression is a difference of two squares. $$b^{2}-36$$

Use the zero-product property to solve the equation. \((x+4)(x+1)=0\)

$$ (2 x+3)(4 x+1) $$

Complete the statement with always, sometimes, or never. The terms of a polynomial are ____ monomials.

Factor the trinomial. $$ 3 x^{2}+2 x-8 $$

Solve the equation by factoring. $$ 4 y^{2}-24 y+36=0 $$

Factor the expression completely. \(x^{3}-16 x\)

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

Use the zero-product property to solve the equation. \((t+8)(t-6)=0\)

Use the FOIL pattern to find the product. $$ (w-3)(w+5) $$

Solve the equation. $$ 3 b^{2}+26 b+35=0 $$

Solve the equation by factoring. $$ 7 x^{2}+28 x+28=0 $$

Factor the expression completely. \(5 b^{3}-25 b^{2}-70 b\)

Factor the trinomial. $$ x^{2}+8 x-9 $$

Tell whether the expression is a difference of two squares. $$ n^{2}-50 $$

Use the zero-product property to solve the equation. \(x(x+8)=0\)

Use the FOIL pattern to find the product. $$ (x+6)(x+9) $$

Solve the equation. $$ 2 z^{2}+15 z=8 $$

You throw a ball upward from the ground with an initial velocity of 96 feet per second. How long will it take the ball to reach a height of 144 feet? \(H I N T:\) Use the vertical motion model on page 607

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

Factor the trinomial. $$ b^{2}+5 b-24 $$

Tell whether the expression is the square of a binomial. $$ a^{2}+8 a+16 $$

Use the zero-product property to solve the equation. \((y+3)^{2}=0\)

$$ (x-4)(8 x+3) $$

Complete the statement with always, sometimes, or never. A binomial is _____ a polynomial of degree \(2 .\)

Solve the equation. $$ -7 n^{2}-40 n=-12 $$

Factor the expression. $$ n^{2}-16 $$

Find the greatest common factor of the terms and factor it out of the expression. \(4 q^{4}+12 q\)

Factor the trinomial. $$ a^{2}-a-20 $$

Use the zero-product property to solve the equation. \((b-9)(b+8)=0\)

$$ (x-3)(x+4) $$

Choose the correct factorization. If neither choice is correct, find the correct factorization. $$ 3 x^{2}+2 x-8 $$ A. \((3 x-4)(x+2)\) B. \((3 x-4)(x-2)\)

Complete the statement with always, sometimes, or never. Subtraction is ______ addition of the opposite.

Factor the expression. $$ q^{2}-64 $$

Find the greatest common factor of the terms and factor it out of the expression. \(3 x-9 x^{2}\)

Factor the trinomial. $$ r^{2}+8 r+16 $$

Tell whether the expression is the square of a binomial. $$ y^{2}-10 y+25 $$

Use the zero-product property to solve the equation. \((d+7)^{2}=0\)

$$ (x+8)(x-7) $$

Choose the correct factorization. If neither choice is correct, find the correct factorization. $$ 6 y^{2}-29 y-5 $$ A. \((2 y+1)(3 y-5)\) B. \((6 y-1)(y+5)\)

State the degree of the monomial. $$ 8 n $$

Factor the expression. $$ b^{2}-48 $$

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

Factor the trinomial. $$ y^{2}-3 y-18 $$

Tell whether the expression is the square of a binomial. $$ x^{2}-3 x+9 $$

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

$$ (3 x-4)(2 x-1) $$

Choose the correct factorization. If neither choice is correct, find the correct factorization. $$ 4 w^{2}-14 w-30 $$ A. \((2 w+3)(2 w-10)\) B. \((4 w+15)(w-2)\)

State the degree of the monomial. $$ 12 b^{4} $$

Factor the expression. $$ 9 c^{2}-1 $$