Chapter 10

$$ (3 s-1)(s+2) $$

Factor the trinomial. $$ 4 n^{2}-22 n-42 $$

Use a vertical format to add or subtract. $$ \left(a+3 a^{2}+2 a^{3}\right)-\left(a^{2}-a^{3}\right) $$

PERFECT SQUARES Factor the expression. $$ 18 x^{2}+12 x+2 $$

Factor the expression. \(r^{3}+64\)

Solve the equation by factoring. $$ x^{2}+42=13 x $$

Write the square of the binomial as a trinomial. $$ (x-7)^{2} $$

Solve the equation. \(8(n+9)(n-9)(n+12)=0\)

$$ (2 d+3)(3 d+1) $$

Factor the trinomial. $$ 3 c^{2}-37 c+44 $$

PERFECT SQUARES Factor the expression. $$ 16 w^{2}-80 w+100 $$

Use a vertical format to add or subtract. $$ \left(2 m-8 m^{2}-3\right)+\left(m^{2}+5 m\right) $$

Factor the expression. \(m^{3}-125\)

Solve the equation by factoring. $$ -x+x^{2}=56 $$

Find the product. $$ (x+4)(x-4) $$

Solve the equation. \((b-8)(2 b+1)(b+2)=0\)

$$ (4 y-7)(2 y-1) $$

Factor the trinomial. $$ 24 r^{2}-6 r-45 $$

PERFECT SQUARES Factor the expression. $$ 36 m^{2}-84 m+49 $$

Use a vertical format to add or subtract. $$ \left(8 y^{2}+2\right)+\left(5-3 y^{2}\right) $$

Factor the expression completely. \(24 x^{3}+18 x^{2}\)

Solve the equation by factoring. $$ x^{2}-x-8=82 $$

Find the product. $$ (x-3)(x+3) $$

Solve the equation. \((y-5)(y-6)(3 y-2)=0\)

Use the FOIL pattern to find the product. $$ (a+6)(a+7) $$

Factor the trinomial. $$ 6 t^{2}+t-70 $$

PERFECT SQUARES Factor the expression. $$ a^{2}-4 a b+4 b^{2} $$

Use a vertical format to add or subtract. $$ \left(3 x^{2}+7 x-6\right)-\left(3 x^{2}+7 x\right) $$

Factor the expression completely. \(2 y^{3}-10 y^{2}-12 y\)

Solve the equation by factoring. $$ n^{2}+8 n+32=-4 n $$

Find the product. $$ (3 x-1)^{2} $$

$$ (y+5)(y-8) $$

Factor the trinomial. $$ 14 y^{2}-15 y+4 $$

PERFECT SQUARES Factor the expression. $$ x^{2}+12 x y+36 y^{2} $$

Use a vertical format to add or subtract. $$ \left(4 x^{2}-7 x+2\right)+\left(-x^{2}+x-2\right) $$

Factor the expression completely. \(5 s^{3}+30 s^{2}+40 s\)

Solve the equation by factoring. $$ c^{2}+10 c-48=12 c $$

Find the product. $$ (4-n)^{2} $$

$$ (x+6)(x-6) $$

Factor the trinomial. $$ 8 y^{2}-26 y+15 $$

COMMON FACTOR Factor the expression. $$ 4 n^{2}-36 $$

Use a horizontal format to add or subtract. $$ \left(x^{2}-7\right)+\left(2 x^{2}+2\right) $$

Factor the expression completely. \(4 t^{3}-144 t\)

Solve the equation by factoring. Then use a graphing calculator to check your answer. $$ x^{2}-17 x+30=0 $$

Find the product. $$ (2 y+5)(2 y-5) $$

$$ (2 w-5)(w+5) $$

COMMON FACTOR Factor the expression. $$ -32+18 x^{2} $$

Use a horizontal format to add or subtract. $$ \left(-3 a^{2}+5\right)+\left(-a^{2}+4 a-6\right) $$

Factor the expression completely. \(-12 z^{3}+3 z^{2}\)

Solve the equation by factoring. Then use a graphing calculator to check your answer. $$ x^{2}-20 x+19=0 $$