Objective: factor polynomials by finding the GCF, identifying perfect squares & “undoing the box”. What is factoring and how is it done?

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Presentation transcript:

Objective: factor polynomials by finding the GCF, identifying perfect squares & “undoing the box”. What is factoring and how is it done?

Factoring Un-multiplying or Un-distributing Break into simpler parts Factored & Un-factored expressions are EQUAL IN VALUE

Example Un-factored: 4x – 8 Factored: 4(x – 2) 4x – 8 = 4(x – 2)

Greatest Common Factor (GCF) The LARGEST monomial that “divides evenly” into every term

Ex) 25x 3 + 5x 25xxx + 5x GCF: 5x

DISTRIBUTEFACTOR 2x(x 2 + 5x – 6)4x x 2 – 12x

DISTRIBUTEFACTOR 3x 2 (x – 5) + 2(x – 5)2x 3 + 6x 2 + 4x + 12

Box/FOILFACTOR (x + 7)(x – 4)x 2 – 2x – 24

Box/FOILFACTOR (3x + 1)(x – 4)3x x + 6

Ex 1. Factor 5x + 15

Ex 2. Factor 8x x

Ex 3. Factor 8x x+ 10x + 15

Ex 4. Factor 2x 2 + 6x – 3x – 9

Ex 5. Factor x 2 – 16

Ex 6. Factor 4x 2 – 9

Ex 7. Factor x 2 + 9x + 14

Ex 8. Factor 3x 2 + 7x + 2

Ex 9. Factor 3x 2 + 6x – 9

Ex 10. Factor 4x 2 – 2x – 20

The area of a rectangle is represented by the expression 3x x. The length of the rectangle is 3x, what expression represents the width? Area = 3x 2 +12x 3x Width = ?

– Area = x 2 – 64 Length = ? Width = ?

to be turned in for a grade Directions: find the length and/or width of every rectangle. Record your answers on your own paper to be turned in for a grade. White rectangle Blue Rectangle Orange Rectangle Pink Rectangle Green Rectangle