Intro to Factoring

x(10x² - 15)

5x(2x² - 3)

5(2x³ - 3x)

5x²(10x - 3)

2(x + 9)

2(x + 8)

2(2x + 9)

cannot be factored

(x + 7)(2x + 2)

(x + 2)(2x + 7)

(x + 14)(2x + 1)

(x + 1)(2x + 14)

$$-\left(x^4-14x^2+45\right)=0$$  

$$-\left(x^4-14x^2-45\right)=0$$

$$-\left(x^2-9\right)\left(x^2-5\right)=0$$  

$$x=\pm3,\ \pm\sqrt[]{5}$$  

$$x=\pm3,\ \pm\sqrt[]{5}i$$

$$16x^2$$  

$$-1$$  

$$\left(16x^2-1\right)$$  

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

$$x\ =3,\ \pm\frac{1}{4}$$  

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

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

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

$$+1$$

$$64x^3-1$$

$$x^3+64$$

$$9x^2+64$$

$$9x^2-64$$

$$9x^2-64x$$

(x - 2)(x + 3)

(x - 2)(x + 7)

(x + 2)(x - 7)

(x - 2)(x - 3)

( x + 5 ) ( x - 5 ) 

( x - 5 ) ( x - 5 ) 

( x + 5 ) ( x + 5 ) 

Prime

(x² - 3²)

(x² - 3)

(x + 3)(x - 3)

(x - 3)²