Warm Up Find the GFC of this set of monomials. 15x2y5 and 24x7y3

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Presentation transcript:

Warm Up Find the GFC of this set of monomials. 15x2y5 and 24x7y3 The GFC is 3x2y3

Warm up Grade homework Vocabulary and notes for section 7-2 Assignment 7-2

Introducing…. Unit 7 vocabulary! x2 + 6x Break a polynomial up into its prime factors x (x +6)

Lesson 7.2 Learning Target I can factor polynomials by dividing out a GCF (greatest common factors)

FIRST METHOD Factoring polynomials with boxes

Factoring polynomials with boxes First method: Factoring polynomials with boxes EXAMPLE 1: Factor 4x + 8 Make a rectangle with two boxes, putting each term in its own box 2. Label the width with the GCF of the terms x 2 Answer: 4 (x + 2) 4x 8 4

Factoring polynomials with boxes EXAMPLE 2: Factor x2 – 5x Make a rectangle using these terms x - 5 x2 -5x Answer: x (x - 5) x

Factoring polynomials with boxes EXAMPLE 3: Factor 2x3 – 4x2 + 6x Make a rectangle using these terms x2 - 2x 3 2x3 -4x2 6x 2x Answer: 2x (x2 – 2x + 3)

SECOND METHOD Factoring polynomials with reverse distributive property

Factoring polynomials with “reverse” distributive property Second method: Factoring polynomials with “reverse” distributive property Ex 4: Factor 6x + 3 What is the GCF of both terms? GCF The GCF goes in front of the ( ) 3 ( ) 2x + 1 After dividing, the result goes inside the ( ) Answer ! Ex 5: Factor 16xz – 40xz2 GCF 8xz ( ) 2 – 5z 6x 3

Are you a master? Factor each: 1) 9x2 + 36x 4) 10x2 – 15xy2 + 20xy 5x(2x – 3y2 + 4y ) 9x ( x + 4) 2) 5x2z – 40 xz2 5xz ( x – 8z) 3) 24m2np2 + 36m2n2p 12m2np ( 2p + 3n)

Assignment 7-2