Chapter 6

For exercises 1-20, use a pattern to factor. Check. Identify any prime polynomials. $$ x^{2}+8 x+16 $$

For exercises 1-22, use the guess and check method to factor. Identify any prime polynomials. $$ x^{2}+16 x+63 $$

For exercises 1-10, find the greatest common factor of the terms. $$ 48 ; 54 $$

Solve. $$ y(y-21)=0 $$

Factor completely. Identify any prime polynomials. $$ 2 x^{2}-18 $$

Use the guess and check method to factor. Identify any prime polynomials. $$ y^{2}+15 y+54 $$

For exercises 1-10, find the greatest common factor of the terms. $$ 48 ; 56 $$

Solve. $$ (c+3) c=0 $$

Factor completely. Identify any prime polynomials. $$ x^{3}+6 x^{2}+5 x $$

Use a pattern to factor. Check. Identify any prime polynomials. $$ y^{2}-12 y+36 $$

For exercises 1-10, find the greatest common factor of the terms. $$ 48 x^{2} y^{3} ; 60 x y^{2} $$

Solve. $$ (k+8) k=0 $$

Factor completely. Identify any prime polynomials. $$ x^{3}+5 x^{2}+4 x $$

Use a pattern to factor. Check. Identify any prime polynomials. $$ a^{2}-10 a+25 $$

Use the guess and check method to factor. Identify any prime polynomials. $$ w^{2}-11 w+24 $$

For exercises 1-10, find the greatest common factor of the terms. $$ 48 x^{2} y^{3} ; 80 x^{2} y $$

Factor completely. Identify any prime polynomials. $$ 10 p x+5 x y+10 p y+5 y^{2} $$

Use a pattern to factor. Check. Identify any prime polynomials. $$ u^{2}+20 u+100 $$

Use the guess and check method to factor. Identify any prime polynomials. $$ h^{2}+11 h+42 $$

For exercises 1-10, find the greatest common factor of the terms. $$ 48 x^{5} y^{3} ; 60 x^{2} y $$

Solve. $$ 0=d(d+9) $$

Factor completely. Identify any prime polynomials. $$ 6 a c+3 a b+6 b c+3 b^{2} $$

Use a pattern to factor. Check. Identify any prime polynomials. $$ v^{2}+18 v+81 $$

Use the guess and check method to factor. Identify any prime polynomials. $$ k^{2}+15 k+40 $$

For exercises 1-10, find the greatest common factor of the terms. $$ 48 x^{7} y^{2} ; 80 x y^{4} $$

Solve. $$ (p+4)(p-7)=0 $$

Factor completely. Identify any prime polynomials. $$ 8 n^{2}+8 p^{2} $$

Use a pattern to factor. Check. Identify any prime polynomials. $$ y^{2}-6 y+9 $$

Use the guess and check method to factor. Identify any prime polynomials. $$ z^{2}-7 z-18 $$

Solve. $$ (h+2)(h-10)=0 $$

Factor completely. Identify any prime polynomials. $$ 7 c^{2}+7 d^{2} $$

Use a pattern to factor. Check. Identify any prime polynomials. $$ c^{2}-14 c+49 $$

Use the guess and check method to factor. Identify any prime polynomials. $$ a^{2}-4 a-21 $$

Factor completely. Identify any prime polynomials. $$ 4 x^{2}+24 x+36 $$

Use a pattern to factor. Check. Identify any prime polynomials. $$ k^{2}+16 k+64 $$

Use the guess and check method to factor. Identify any prime polynomials. $$ z^{2}+7 z-18 $$

Solve. $$ (2 m+3)(m+8)=0 $$

Factor completely. Identify any prime polynomials. $$ 5 y^{2}+30 y+45 $$

Use a pattern to factor. Check. Identify any prime polynomials. $$ y^{2}+18 y+81 $$

Use the guess and check method to factor. Identify any prime polynomials. $$ a^{2}+4 a-21 $$

For exercises 1-10, find the greatest common factor of the terms. $$ 34 a^{4} b^{7} ; 15 a d^{3} $$

Factor completely. Identify any prime polynomials. $$ 90 x z+72 x+10 y z+8 y $$

Use a pattern to factor. Check. Identify any prime polynomials. $$ 9 k^{2}+48 k+64 $$

Use the guess and check method to factor. Identify any prime polynomials. $$ x^{2}-14 x+49 $$

Solve. $$ (3 n+7)(4 n-1)=0 $$

Factor completely. Identify any prime polynomials. $$ 42 c f+70 c+6 d f+10 d $$

Use a pattern to factor. Check. Identify any prime polynomials. $$ 4 y^{2}+36 y+81 $$

Use the guess and check method to factor. Identify any prime polynomials. $$ y^{2}-16 y+64 $$

(a) factor out the greatest common factor. Identify any prime polynomials. (b) check. $$ 18 c+24 d $$

Solve. $$ x(x-3)(x-7)=0 $$