Problem 30
Factor each polynomial. $$ -k^{2}-h^{2}+2 k h+4 $$
Problem 32
Factor each polynomial. $$ 80 z^{2}-40 z w+5 w^{2} $$
Problem 34
Factor each trinomial. \(8 k^{2}+34 k+35\)
Problem 39
Solve each equation. $$ (x+3)(x-6)=(2 x+2)(x-6) $$
Problem 53
Factor each polynomial. $$ 343 p^{3}+125 q^{3} $$
Problem 56
The following exercises are of mixed variety. Factor each polynomial. $$ y^{2}+3 y-10 $$
Problem 57
Factor each trinomial. \(12 p^{3}-12 p^{2}+3 p\)
Problem 57
A garden has an area of \(320 \mathrm{ft}^{2}\). Its length is \(4 \mathrm{ft}\) more than its width. What are the dimensions of the garden?
Problem 58
A square mirror has sides measuring \(2 \mathrm{ft}\) less than the sides of a square painting. If the difference between their areas is \(32 \mathrm{ft}^{2},\) find the lengths of the sides of the mirror and the painting.
Problem 59
Factor each trinomial. \(12 p^{6}-32 p^{3} r+5 r^{2}\)