1. Factoring with GCF and DOS

2. Learning Intention/Success Criteria
LI: We are learning to factor quadratics using greatest common factor (GCF) SC: I can -recognize if a quadratic can be factored -identify the roots and y-intercept of a quadratic -identify the solutions of the equation by factoring -square and square root numbers -find the GCF -check my work by multiplying binomials

3. Teach Me How To Factor Video

4. Example 1: Factor the polynomial using GCF
10x2 + 5x
First Term: Second Term:
5 • 2 • x • x
5 • 1 • x 5x
(2x + 1)

5. Factor the polynomial using GCF: 7x – 21
Guided Practice 1
Factor the polynomial using GCF: 7x – 21
A] Prime
B] 7(x – 3)
C] 7(x – 21)
D] 3(7x – 7)
1st Term: 2nd Term:
7 • 1 • x
7 • 3
7(x – 3)

6. Factor the polynomial using GCF: 16x3 + 24x2 – 8x
Guided Practice 2
Factor the polynomial using GCF: 16x3 + 24x2 – 8x
1st Term: 2nd Term: 3rd Term:
8 • 2 • x • x • x
A] 4(4x3 + 6x2 – 2x)
B] 4x(4x2 + 6x – 2)
C] 8x(2x2 + 3x – 1)
D] 2x(8x2 + 12x – 4)
8 • 3 • x • x
8 • 1 • x
8x(2x2 + 3x – 1)

7. Factor the polynomial using GCF: 7x3 – 5z2 + 3x2z2
Guided Practice 3
Factor the polynomial using GCF: 7x3 – 5z2 + 3x2z2
1st Term: 2nd Term: 3rd Term:
7 • 1 • x • x • x
A] x2z2(7x – 5 + 3)
B] 5z2(7x3 – 1 + 3x2)
C] 7x2(x – 5z2 + 3z2)
D] Prime
5 • 1 • z • z
3 • 1 • x • x • z • z