Chapter 5.5(a) The GCF and Factoring by Grouping.notebook
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January 30, 2017
Jan 158:12 AM
Bellwork:
1) Write the equation of the line with an undefined slope that passes through the point (4, 8).
2) Simplify: a. (2a2b)3(a2b4)2 b. 2x2y5 (2xy2)4
Multiply:
3) 3x2y(4x2y 4xy + 4x) 4) (3x 5)(4x + 1)
5) (3x 5)2
Jan 158:24 AM
Chapter 5.5(a) The greatest Common Factor and Factoring by Grouping.
Identify and factor out the greatest common factor.
Jan 158:27 AM
Factoring is the reverse process of Multiplying. It is the process of writing a polynomial as a product.
(2x 3)(x + 4) = 2x2 + 5x 12
multiplying
factoring
There are several different methods of factoring that we will learn over the next couple of weeks.
Jan 158:46 AM
We start with factoring out the Greatest Common Factor (GCF).
Finding the GCF of List of Monomials
Step 1: Find the GCF of the numerical coefficients.Step 2: Find the GCF of the variable factors.Step 3: The product of the factors found in Steps 1 and 2
is the GCF of the monomials.
Jan 1510:28 AM
1) Find the GCF of the following monomials:
a) 72r2s2, 36rs3 b) 18a2, 48a4
c) 8ab4, 20a2b4 and 28ab3
Jan 1510:33 AM
We are now going to factor a polynomial by factoring out the GCF using the distributive property.
This is the opposite of multiplying a monomial by a polynomial. 3x(4x2 + 3x 2)
Factoring out the GCF: 12a5 + 6a3 + 4a
First find the GCF of the terms:
Factor out the GCF:
Apply the distributive property:
Chapter 5.5(a) The GCF and Factoring by Grouping.notebook
2
January 30, 2017
Jan 1510:35 AM
2) Factor:a. 9b2 + 3
b. 20y2 4y3 + 12y4
c. 6a 7b2
Check your Answer:Multiply the factors together and see if it equals the original polynomial.
Jan 1510:43 AM
At times there are two different factors we can pull out, one positive and one negative.
3) Factor:
a. 2x2y 4xy + 10y
b. 9x4y2 + 5x2y2 + 7xy2
Jan 1510:44 AM
Which factorization of 6x2 + 9x 12 is correct?
a. 3(2x2 + 3x + 4) b. 3(2x2 + 3x 4)
c. 3(2x2 + 3x 1) d. 3(2x2 + 3x)
Jan 1510:48 AM
Homework
Factor out the GCF WS
Jan 193:51 PM
