FACTORING

Can you answer the following questions? If not, use the Greatest Common Factor (GCF) link.

What are the factors of 18?

What is the greatest common factor of 18, 24, and 36?

What is the greatest common factor of 10x²y³ and 15xy²?

Using the GCF, how would you factor 4x + 8y?

Using the GCF, how would you factor 15x²y³ + 10xy²?

To practice finding (GCF) go to the Common Factoring Practice link.

Here are some quadratic expressions.  If you have trouble factoring them, go to the

Factoring Quadratics link for help.

      Easy    

x² + 5x + 6

x² + 7x + 6

x² – 5x + 6

x² – 7x + 6

x² + x – 6

x² – x – 6

x² – 5x – 6

x² +7x – 6

To practice factoring Easy (a=1) quadratic expressions, go to the Easy practice link

       Harder

2x² + x – 6

4x² –19x + 12

5x² – 10x + 6

2x² – 4x – 16

–6x² – x + 2

–6x² + 15x + 36

6 + x – x²

6x² + xy – 12y²

To practice factoring Harder (a > 1) quadratic expressions, go to the Harder practice link.

These are some special cases of factoring involving the difference of two squares.  If you have

trouble factoring them, go to the Difference of Two Perfect Squares link. 

x² – 9

4y² – 36y⁶

To do more practice problems for this special case of factoring, go to the Practice link.

To improve your factoring fitness, go to the Review of Factoring practice link.

Factor and solve the following quadratic equations.  If you need help, go to the

Solving Equations by Factoring link.

x² – 16x = 0

w² = 2w + 15

(x + 5)(x + 2) = 4

To do more practice problems for solving equations by factoring, go to the Practice link.