Bell Ringer Find the GCF and LCM 180x 4 y and 168x 2 y 5

Factoring with GCF Lesson Essential Question: How do you factor by greatest common factor?

Find the greatest common factor (GCF): Educreation 1.)2 and 4 2.) 15 and 25 3.)3, 9, and 18

Find the GCF 4.)x and x 2 5.)x 2, and x 3

Find the GCF 6.)3x )5x x 3 8.)4x 3 + 2x 2 + 6x

Steps to Factor Polynomials Step 1: Identify the GCF of the polynomial.GCF Step 2: Divide the GCF out of every term of the polynomial.

If a term of the polynomial is exactly the same as the GCF, when you divide it by the GCF you are left with 1, NOT 0. If all terms have the same variable, the GCF for the variable part is that variable raised to the lowest exponent that is listed.

Factor: Educreation 1.)3x )5x x 3.)2x 2 – 10x 4

Factor 4.)x 2 + 4x 5.)6x x x 6.)3x 3 – 12x x

Factor 1.)15x 3 – 3x 2 +12x 2.)6x x x 3

3.)8x 4 – 16x x 4.)6x x x

5.)10x x 3 6.)7x x x 2

Worksheet

Quick Check Factor by GCF: 1.) 20x x 2 – 4x 2.) -27y y 3 + 3y 2

Groups ixl Algebra 1 AA.2 Factor out a monomial Start on homework

Summary: True or False 1.) The gcf of 4 and 12 is )The gcf of x 4 and x 6 is x 4. 3.) I can check my answers by using the distributive property. 4.) The gcf of 5x 2 and 15x is 5x 2.

Homework Worksheet