Algebra 2: Factoring Polynomials

(x + 12)(x - 3)

(x + 9)(x - 4)

(x - 12)(x + 3)

(x - 9)(x - 4)

not factorable

(m-9)(m+9)

9m(9m-1)

(9m-1)(9m+1)

3(x² + 6x + 5)

(x + 5)(x + 1)

3(x + 5)(x + 1)

Cannot be factored

x²(x+3)(x-3)

(x²+3x)(x²-3x)

(x²+9)(x-3)(x+3)

x²(x²-9)

x(5x+6)(x-1)

x(5x-6)(x-1)

x(2x-7)(x-3)

(5x-6)(x-1)

2x

2

x

1

(x+4)(x-1)

(x-4)(x-1)

(x+4)(x+1)

(x-4)(x+1)

(x - 5)³

(x + 2)²

(x + 2)³

(x— 1)

$$\left(5x+4\right)\left(x+4\right)$$

$$5x^2\left(x^2+4\right)$$

$$x^2\left(5x^2+20x\right)$$

$$5x\left(x^2+4x\right)$$

$$16x^2$$  

$$-1$$  

$$\left(16x^2-1\right)$$  

$$\left(4x+1\right)\left(4x-1\right)$$  

$$x\ =3,\ \pm\frac{1}{4}$$  

$$x=\pm3,\ \pm4$$

$$\left(8x+1\right)\left(2x-1\right)$$

$$\left(x+3\right)$$

$$+1$$