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Information about Factoring Review!

Published on January 21, 2008

Author: mcarls

Source: slideshare.net

Trying to come up with Factoring Power Point.

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Finding GCF! How about the GCF for: 5x 2 y 3 and 15xy 5 GREATEST COMMON FACTOR What number goes into both 5 and 15? What is the biggest quantity of x and y in both? GCF: 5xy 3

How about the GCF for:

5x 2 y 3 and 15xy 5

Find the GCF for: 22a 3 b and 6ab 4 Correct - Click anywhere to continue Incorrect - Click anywhere to continue You answered this correctly! Your answer: The correct answer is: You did not answer this question completely You must answer the question before continuing Submit Clear A) 6ab B) 2a 3 b 4 C) 2ab D) 11a 3 b 4

The GCF for : 18x3 and 6x2 is 6x3 Correct - Click anywhere to continue Incorrect - Click anywhere to continue You answered this correctly! Your answer: The correct answer is: You did not answer this question completely You must answer the question before continuing TIME TO PRACTICE! Submit Clear A) True B) False

What about COMMON FACTORING? Find the GCF and “pull that out to the front”. How would you factor: 3x 3 + 18x 2 The GCF would be: 3x 2 Once you factor that out, your left with… 3x 2 (x+6)

Find the GCF and “pull that out to the front”.

How would you factor: 3x 3 + 18x 2

When you factor (16ax - 20az) the answer is: 4a(4x - 5z). Correct - Click anywhere to continue Incorrect - Click anywhere to continue You answered this correctly! Your answer: The correct answer is: You did not answer this question completely You must answer the question before continuing Submit Clear A) True B) False

Factor completely: 15x 5 - 35x 3 + 5x 2 Correct - Click anywhere to continue Incorrect - Click anywhere to continue You answered this correctly! Your answer: The correct answer is: You did not answer this question completely You must answer the question before continuing Submit Clear A) 5x(3x 4 -7x 2 + x) B) 5x 2 (3x 3 - 7x + 1) C) x 2 (15x 3 - 35x + 5) D) 5x 2 (3x 3 + 7x - 1)

FACTORING INTO TWO PARENTHESIS! FACTORING PERFECT SQUARES 1. x 2 + 14x + 49 2. y 2 – 10y + 25 (x + 7)(x + 7) (y – 5)(y – 5) or or (x + 7) 2 (y – 5) 2

FACTORING DIFFERENCE OF TWO SQUARES (x + 6)(x - 6) (y – 11)(y + 11) 1. x 2 - 36 2. y 2 – 121

FACTORING INTO TWO BINOMIALS 1. x 2 + 7x + 10 2. y 2 – 9y + 18 3. x 2 – x – 12 4. y 2 + 13y – 14 (x + 5)(x + 2) (y – 6)(y – 3) (x – 4)(x + 3) (y + 14)(y – 1)

1. x 2 + 7x + 10 2. y 2 – 9y + 18

SOLVING QUADRATICS STEPS TO SOLVE A QUADRATIC: Isolate the quadratic and set = 0. Look to factor, either Common or Binomial. Set each factor = 0. Solve for each factor.

STEPS TO SOLVE A QUADRATIC:

Isolate the quadratic and set = 0.

Look to factor, either Common or Binomial.

Set each factor = 0.

Solve for each factor.

Let’s practice one….. x 2 – 5x = 66 x 2 – 5x – 66 = 0 (x – 11)(x + 6) = 0 X = 11 or x = -6

YOUR TURN! 1. x 2 = x + 20 2. y 2 + 17y = -30 All right, work them out…… Get your answers, then I’ll post them below…… READY! ANSWERS: 1. x = 5 or x = -4 2. y = -15 or y = -2

1. x 2 = x + 20 2. y 2 + 17y = -30

CONGRATULATIONS! You made it! Good luck on the test!

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