General Factorization

Steps for factoring a general trinomial

Patterns for a perfect square trinomial

Pattern for sum and difference of two squares

GCF with Prime Factorization

Steps for factoring a general trinomial

Patterns for a perfect square trinomial

Pattern for sum and difference of two squares

GCF with Prime Factorization

$$-\left(x^4-14x^2+45\right)=0$$  

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

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

$$x=\pm3,\ \pm\sqrt[]{5}$$  

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

12x2

6x

24x3

36x2

5x²

4x + 3

15x

20x²

2x + 3

5x

4x² + 3

2x

2

x

1

$$9x^2-64$$

$$64x^3-1$$

$$x^3+64$$

$$9x^2-64x$$

$$9x^2+64$$