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Gautier/Tang Algebra I: Ch. 5 Part 3 Name __________________________ Date ___________ TYPES OF FACTORING PROBLEMS 1. Common Monomial Factor Ex 1: 5x + 35 5(x + 7) - factor out what’s in common in both terms (5) - write what you factored outside the parentheses Ex 2: 26uv-39v 13v(2u-3) - factor out what’s in common in both terms (13v) - write what you factored outside the parentheses 4 x 5 6 x3 14 x Ex 3: 2x( 2 x 4 3 x 2 7 ) - factor out what’s in common in both terms (2x) - write what you factored outside the parentheses 2. Difference of Two Squares 3. Perfect Square Trinomial 4. Trinomials (Signs are the same) Sec. 5-7 Factoring Pattern for x 2 + bx + c (positive) (Trinomials when signs are the same) Examples: 1. Factor x 2 + 8x + 15 - For the first term, put an x in the parentheses. - For the second term, find two numbers that multiply to equal 15 and add to equal 8. 5 3 = 15 5+3= 8 (x + 3)(x + 5) - Answer Gautier/Tang Algebra I: Ch. 5 Part 3 2. Factor y 2 - 11y + 18 - For the first term, put a y in the parentheses. - For the second term, find 2 number that multiply to equal 18 and add to equal –11. -2 -9 = 18 -2 + -9 = -11 (y – 2)(y – 9) - Answer Practice Problems Directions- Factor 1. x 2 +8x + 7 2. p 2 - 5p + 6 3. u 2 + 11u + 18 4. r 2 + 9r + 20 5. n 2 - 17n + 30 6. q 2 + 16q + 15 Gautier/Tang Algebra I: Ch. 5 Part 3 7. x 2 - 22x + 72 8. z 2 + 16z + 39 9. x 2 - 22x + 72 10. y 2 + ky + 14 11. n 2 + kn + 9 12. r 2 + kr + 20 13. p 2 + kp + 18 14. c 2 - 10c + 16 15. n 2 + 10n + 21