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Factoring Review!

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Factoring Review!

1. 1. Factoring review! Walk through Chapter 9 with Factoring in Math A/B
2. 2. Finding GCF! <ul><li>How about the GCF for: </li></ul><ul><li>5x 2 y 3 and 15xy 5 </li></ul>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
3. 3. 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
4. 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
5. 5. What about COMMON FACTORING? <ul><li>Find the GCF and “pull that out to the front”. </li></ul><ul><li>How would you factor: 3x 3 + 18x 2 </li></ul>The GCF would be: 3x 2 Once you factor that out, your left with… 3x 2 (x+6)
6. 6. 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
7. 7. 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)
8. 8. 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
9. 9. FACTORING DIFFERENCE OF TWO SQUARES (x + 6)(x - 6) (y – 11)(y + 11) 1. x 2 - 36 2. y 2 – 121
10. 10. FACTORING INTO TWO BINOMIALS <ul><li>1. x 2 + 7x + 10 2. y 2 – 9y + 18 </li></ul>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)
11. 11. SOLVING QUADRATICS <ul><li>STEPS TO SOLVE A QUADRATIC: </li></ul><ul><li>Isolate the quadratic and set = 0. </li></ul><ul><li>Look to factor, either Common or Binomial. </li></ul><ul><li>Set each factor = 0. </li></ul><ul><li>Solve for each factor. </li></ul>
12. 12. Let’s practice one….. x 2 – 5x = 66 x 2 – 5x – 66 = 0 (x – 11)(x + 6) = 0 X = 11 or x = -6
13. 13. YOUR TURN! <ul><li>1. x 2 = x + 20 2. y 2 + 17y = -30 </li></ul>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
14. 14. CONGRATULATIONS! You made it! Good luck on the test!
15. 15. Quiz Question Feedback/Review Information Will Appear Here {total-attempts} Number of Quiz Attempts {max-score} Max Score {score} Your Score Review Quiz Continue