### Notes for 1-31-12 Factor Using GCF Method.notebook

```Notes for 1­31­12 Factor Using GCF Method.notebook
February 01, 2012
Integrated Math 1 - 1/31/12
Learning Target: Factoring Using Greatest Common Factor
Multiply:
1) 8x2y4(4xy3 - 3xy5 + 12x4y6)
2) (5a - 7b)(2a + 10b)
3) (4x + 1)(-3x2 - x + 1)
.
Jan 30­3:26 PM
Homework Key: Multiply Joke WS
Jan 30­3:36 PM
1
Notes for 1­31­12 Factor Using GCF Method.notebook
February 01, 2012
Unit 7 Notes Continued:
The greatest common factor of two terms is
the largest number that can be divided out of
both terms.
What is the GCF of each set of terms?
1)
8 and 12
4)
4x2 and 20x
2)
18 and 24
5)
6x3 and 15x2
3)
­5 and 30
6)
32x4 and 48x2
.
Jan 30­3:38 PM
Multiply:
2x(x - 5)
Factoring a polynomial is basically "un-distributing"...it
reverses the multiplication process.
Methods of Factoring:
1) Greatest Common Factor (GCF)
2) Difference of Two Squares
3) Trinomials
Factoring will allow us to solve equations in
the future such as x2 - 3x + 10 = 20
.
Jan 30­3:41 PM
2
Notes for 1­31­12 Factor Using GCF Method.notebook
Factoring Method #1:
February 01, 2012
Greatest Common Factor (GCF)
Factoring by GCF is the most obvious form of "undistributing"...instead of multiplying, DIVIDE.
Make sure to divide out the GCF, or simply the largest
number/variables you can!
Basic Examples:
Factor the following.
8x + 12
3x - 9
-12x + 30
.
Jan 30­3:44 PM
Examples with Variables:
Factor the following.
4x3 + 18x
5x2 - 35x
-2x4y + 10x2y
12x5y3 - 18x2y2
,
Jan 30­3:46 PM
3
Notes for 1­31­12 Factor Using GCF Method.notebook
More Complicated Examples:
February 01, 2012
Factor the following.
24x4 + 16x2 - 8x
-6x2y4 + 9x3y2 - 12xy5
5xy4z2 + 20x3yz3 - 35x2y2z4
Jan 30­3:46 PM
Jan 31­7:15 AM
4
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