Problem 27
Solve. $$ c(4-c)=0 $$
Problem 28
(a) factor out the greatest common factor. Identify any prime polynomials. (b) check. $$ 80 h^{2} k^{2}+24 h^{2} k+64 h k^{2}+240 $$
Problem 34
The equation \(x(x-9)(x-9)=0\) has three factors. However, it has only two solutions. Explain why.
Problem 36
(a) factor out the greatest common factor. Identify any prime polynomials. (b) check. $$ 48 v^{3}+56 v^{2}+32 v $$
Problem 37
(a) solve. (b) check. $$ y^{2}+8 y+12=0 $$
Problem 39
Use a pattern to factor. Check. Identify any prime polynomials. $$ h^{3}-27 $$
Problem 43
Use a pattern to factor. Check. Identify any prime polynomials. $$ 8 h^{3}-27 k^{3} $$
Problem 47
Factor completely. Identify any prime polynomials. $$ 300 d^{3}-48 d k^{2} $$
Problem 48
Use the \(a c\) method to factor. Check the factoring. Identify any prime polynomials. $$ a^{2}-4 a-32 $$
Problem 53
Use a pattern to factor. Check. Identify any prime polynomials. $$ 81 w^{2}+36 w+4 $$