Objective: factor polynomials by finding the GCF, identifying perfect squares & “undoing the...
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Factoring Polynomials Objective: factor polynomials by finding the GCF, identifying perfect squares & “undoing the box”. What is factoring and how is it done?
Objective: factor polynomials by finding the GCF, identifying perfect squares & “undoing the box”. What is factoring and how is it done?
Objective: factor polynomials by finding the GCF, identifying
perfect squares & undoing the box. What is factoring and how is
it done? Slide 2 Factoring Un-multiplying or Un-distributing Break
into simpler parts Factored & Un-factored expressions are EQUAL
IN VALUE Slide 3 Example Un-factored: 4x 8 Factored: 4(x 2) 4x 8 =
4(x 2) Slide 4 Greatest Common Factor (GCF) The LARGEST monomial
that divides evenly into every term Slide 5 Ex) 25x 3 + 5x 25xxx +
5x GCF: 5x Slide 6 DISTRIBUTEFACTOR 2x(x 2 + 5x 6)4x 3 + 16x 2 12x
Slide 7 DISTRIBUTEFACTOR 3x 2 (x 5) + 2(x 5)2x 3 + 6x 2 + 4x + 12
Slide 8 Box/FOILFACTOR (x + 7)(x 4)x 2 2x 24 Slide 9 Box/FOILFACTOR
(3x + 1)(x 4)3x 2 + 19x + 6 Slide 10 Slide 11 Slide 12 Slide 13
Slide 14 Slide 15 Slide 16 Slide 17 Slide 18 Slide 19 Slide 20
Slide 21 Slide 22 Slide 23 Ex 1. Factor 5x + 15 Slide 24 Ex 2.
Factor 8x 2 + 12x Slide 25 Ex 3. Factor 8x 2 + 12x+ 10x + 15 Slide
26 Ex 4. Factor 2x 2 + 6x 3x 9 Slide 27 Ex 5. Factor x 2 16 Slide
28 Ex 6. Factor 4x 2 9 Slide 29 Ex 7. Factor x 2 + 9x + 14 Slide 30
Ex 8. Factor 3x 2 + 7x + 2 Slide 31 Ex 9. Factor 3x 2 + 6x 9 Slide
32 Ex 10. Factor 4x 2 2x 20 Slide 33 Slide 34 Slide 35 The area of
a rectangle is represented by the expression 3x 2 + 12x. The length
of the rectangle is 3x, what expression represents the width? Area
= 3x 2 +12x 3x Width = ? Slide 36 Area = x 2 64 Length = ? Width =
? Slide 37 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
