Warm Up May 5 Distribute and simplify. Answers 1.15x 3 -40x 2 +20x 2.2x 2 +x-36 3.x 2 -14x+49 4.x 3 +5x 2 -18 5.x 3 +6x 2 +12x+8 6.xy-8x+y 2 -8y.

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Presentation transcript:

Warm Up May 5 Distribute and simplify

Answers 1.15x 3 -40x 2 +20x 2.2x 2 +x-36 3.x 2 -14x+49 4.x 3 +5x x 3 +6x 2 +12x+8 6.xy-8x+y 2 -8y

GCF – what is it?? It is the term that will divide into all pieces evenly –The term has two parts the number and the variables Number – easy, what number will divide into each part evenly Variables, look for the highest exponent each have –Ex x 3 and x 2 »Highest they both have is x 2, so x 2 is the GCF

Factoring 2 Ex 1: 4x 2 – 3x Always factor the GCF first The GCF for this problem is x, so that will go on the outside of the ( ). x(4x – 3)

Example 2 10xy y 2 x 3 – 5xy The GCF is5xy 5xy(2y 2 +4yx 2 -1) Remember that both numbers and variables may be a part of the GCF!

Ex 3: -12x – 8x 2 Don’t forget that you may also factor out a negative! The GCF is-4x -4x(3+2x)

Ex 4: 5x The GCF isnone Not factorable! When this happens we write… “prime” or not factorable

Ex. 5: 5x 2 (x + 3) – 10x(x + 3) Remember the stuff outside ( ) is a factor and the stuff inside ( ) is a factor. (5x x)(x + 3) Because 5x 2 – 10x can still be factored, we factor out 5x, so… 5x(x – 2)(x + 3)

Your Turn 1.3x – x 2 y + 15x – 20xy 3. 12x 2 – 7y x(2x – 1) + 2y(2x – 1) 3(x – 2) 5x(xy + 3 – 4y) Prime (3x + 2y)(2x – 1)