Factoring Review

Factor the following trinomial:

 $x^2-10x+24$  

•  $\left(x+6\right)\left(x-4\right)$  

•  $\left(x-6\right)\left(x+4\right)$  

•  $\left(x-6\right)\left(x-4\right)$  

•  $\left(x+6\right)\left(x+4\right)$  

Solve the following trinomial by factoring:

 $4x^3+20x^2+24x=0$  

•  $x=6,\ 5$  

•  $x=-6,\ -5$  

•  $x=0,\ 2,\ 3$  

•  $x=0,\ -2,\ -3$  

Factor the following trinomial:

 $2x^2+7x-15$  

•  $\left(2x-3\right)\left(x+5\right)$  

•  $\left(2x+3\right)\left(x-5\right)$  

•  $\left(2x-5\right)\left(x+3\right)$  

•  $\left(2x+5\right)\left(x-3\right)$  

Solve the following trinomial by factoring:

 $10x^2+75x+35=0$  

•  $x=-\frac{1}{2},\ -7$  

•  $x=\frac{1}{2},\ 7$  

•  $x=0,\ \frac{1}{2},\ 7$  

•  $x=0,\ -\frac{1}{2},\ -7$  

Solve the following trinomial by factoring:

 $-2x^2-5x+7=0$  

•  $x=\frac{2}{7},\ -1$  

•  $x=-\frac{2}{7},\ 1$  

•  $x=\frac{7}{2},\ -1$  

•  $x=-\frac{7}{2},\ 1$  

Factor completely:

 $9x^2-\frac{1}{16}$  

•  $\left(3x-\frac{1}{8}\right)\left(3x+\frac{1}{8}\right)$  

•  $\left(3x-\frac{1}{4}\right)\left(3x+\frac{1}{4}\right)$  

•  $\left(3x^2-\frac{1}{8}\right)\left(3x^2+\frac{1}{8}\right)$  

•  $\left(3x^2-\frac{1}{4}\right)\left(3x^2+\frac{1}{4}\right)$  

Solve the following by factoring:

 $81a^2-49=0$  

•  $a=7,\ -9$  

•  $a=\frac{7}{9},\ -\frac{7}{9}$  

•  $a=\frac{9}{7},\ -\frac{9}{7}$  

•  $a=-7,\ 9$  

Factor completely:

 $w^4z^2-1$  

•  $\left(w^2z-1\right)\left(w^2z-1\right)$  

•  $\left(wz^2-1\right)\left(wz^2+1\right)$  

•  $\left(wz-1\right)\left(wz+1\right)$  

•  $\left(w^2z-1\right)\left(w^2z+1\right)$  

Factor completely:

 $5a^2-125b^2$  

•  $5a\left(1-25b\right)\left(1+25b\right)$  

•  $5\left(1-5b\right)\left(1+5b\right)$  

•  $5\left(a-5b\right)\left(a+5b\right)$  

•  $\left(5a-25b\right)\left(5a+25b\right)$  

Factor completely:

 $z^4-z^2$  

•  $z\left(z+1\right)\left(z-1\right)$  

•  $z^2\left(z+1\right)\left(z-1\right)$  

•  $\left(z^2+z\right)\left(z^2-z\right)$  

•  $\left(z-1\right)\left(z+1\right)\left(z^2+1\right)$