Chapter 10

Write the product of the sum and difference. $$ (3+2 x)(3-2 x) $$

Use the zero-product property to solve the equation. \((a-20)(a+15)=0\)

Use the distributive property to find the product. $$ (t+8)(t+5) $$

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

Write the polynomial in standard form. Then identify the polynomial by degree and by the number of terms. $$ 8+5 y^{2}-3 y $$

PERFECT SQUARES Factor the expression. $$x^{2}-20 x+100$$

Factor the expression. \(2 x^{3}-3 x^{2}-4 x+6\)

Solve the equation by factoring. $$ x^{2}-9 x=-14 $$

Write the product of the sum and difference. $$ (6-5 n)(6+5 n) $$

Use the zero-product property to solve the equation. \((d+6)(3 d-4)=0\)

$$ (x+6)(x-2) $$

Factor the trinomial. $$ 6 x^{2}-9 x-15 $$

Write the polynomial in standard form. Then identify the polynomial by degree and by the number of terms. $$ -14+11 y^{3} $$

PERFECT SQUARES Factor the expression. $$ b^{2}-14 b+49 $$

Factor the expression. \(10 x^{2}-15 x+2 x-3\)

Solve the equation by factoring. $$ x^{2}+3 x=54 $$

Write the square of the binomial as a trinomial. $$ (x+5)^{2} $$

Solve the equation. \((x+1)(x+2)(x-4)=0\)

$$ (d-5)(d+3) $$

Factor the trinomial. $$ 12 y^{2}-20 y+8 $$

Write the polynomial in standard form. Then identify the polynomial by degree and by the number of terms. $$ -2 x+5 x^{3}-6 $$

PERFECT SQUARES Factor the expression. $$y^{2}+30 y+225$$

Factor the expression. \(8 x^{2}-3 x-8 x+3\)

Solve the equation by factoring. $$ x^{2}+100=20 x $$

Write the square of the binomial as a trinomial. $$ (a+8)^{2} $$

Solve the equation. \(y(y-4)(y-8)=0\)

$$ (a+8)(a-3) $$

Factor the trinomial. $$ 2 z^{2}+19 z-10 $$

PERFECT SQUARES Factor the expression. $$ 9 x^{2}+6 x+1 $$

Write the polynomial in standard form. Then identify the polynomial by degree and by the number of terms. $$ -4 b^{2}+7 b^{3} $$

Factor the expression. \(10 x^{2}-7 x-10 x+7\)

Solve the equation by factoring. $$ x^{2}-15 x+44=0 $$

Write the square of the binomial as a trinomial. $$ (3 x+1)^{2} $$

Solve the equation. \((a+5)(a-6)^{2}=0\)

$$ (y+2)(2 y+1) $$

Factor the trinomial. $$ 6 y^{2}-11 y-10 $$

Write the polynomial in standard form. Then identify the polynomial by degree and by the number of terms. $$ 14 w^{2}+9 w^{3} $$

PERFECT SQUARES Factor the expression. $$ 4 r^{2}+12 r+9 $$

Factor the expression. \(m^{3}+1\)

Solve the equation by factoring. $$ x^{2}-20 x=-51 $$

Write the square of the binomial as a trinomial. $$ (2 y-4)^{2} $$

Solve the equation. \(r(r-12)^{2}=0\)

$$ (m-2)(4 m+3) $$

Factor the trinomial. \(4 x^{2}+27 x+35\)

Use a vertical format to add or subtract. $$ \left(12 x^{3}+x^{2}\right)-\left(18 x^{3}-3 x^{2}+6\right) $$

PERFECT SQUARES Factor the expression. $$ 25 n^{2}-20 n+4 $$

Factor the expression. \(c^{3}-8\)

Solve the equation by factoring. $$ x^{2}+8 x=65 $$

Write the square of the binomial as a trinomial. $$ (4 b-3)^{2} $$

Solve the equation. \(5(d+8)(d-12)(d+9)=0\)