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Answers to Unit 1, Lesson 1 Exercises

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1 Answers to Unit 1, Lesson 1 Exercises
3x2 – 5x + 6 -4x2 – 7x – 17 4y2 + y + 7 7z – 10 2x3 – 2x2 + 6x -12u2 + 3u -15x3 – 5x2 + 10x

2 Answers to Unit 1, Lesson 1 Exercises
x2 + 8x + 15 8x2 + 14x + 3 x2 – 36 9x2 – y2 x2 + 4x + 4 9 – 30x + 25x2 u2 + v2 – 2uv + 4u – 4v + 4 a2 – b2 – 4a + 4

3 Answers to Unit 1, Lesson 1 Exercises
8x3 – 12x2y + 6xy2 – y3 8x3 – 84x x – 343 x3 + 2x2 – 5x + 12 x2 – 2 x3 – 8 12

4 Unit 1, Lesson 2 : Factoring using GCF and Factoring Trinomials
Factoring is rewriting an expression as the product of its factors. The greatest common factor (GCF) of an expression is the common factor with the greatest coefficient and the greatest exponent.

5 Examples: Factor . 1. 4x2 + 20x – n2 – 24n

6 You try: 9x3 + 18x2 – 3x 7p2 + 21

7 Factoring Trinomials ax2 + bx + c , when a = 1
Examples: 5. x2 + 8x + 7 6. x2 – 17x + 72 7. x2 – x – 12

8 You try: x2 – 11x + 24 x2 + 3x – 10 x2 + 18x + 32

9 Factoring Trinomials ax2 + bx + c , when a  1
Examples: 3x2 – 16x + 5 12. 4x2 – 4x – 15

10 You try: 4x2 + 7x + 3 4x2 + 5x – 6

11 Perfect Square Trinomials
4x2 + 12x + 9 16. 9x2 – 6x + 1

12 Difference of Squares: a2 – b2 = (a – b)(a + b)
17. x2 – 64 16. 4x2 – 49

13 Factoring Completely Always look for GCF first!!
9x2 – 36 16x2 – 80x + 100

14 Homework Practice 5-4 odds only!


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