University:
University of North Georgia
Course:
MATH 3150 | Problem Solving & Connections for Teachers
Academic year:

2019
Views:

252

Pages:

4
Author:

larbiwxcvbn

Algebra 1 Factoring Test Review Name: Key For 1-6, factor by pulling out the GCF. Circle your final answer. 1. 3x + 18 3(x + 6) 2. 5x - 10x² 5x(1 - 2x) 3. d³ - d² - d d(d² - d - 1) 4. 6x³ - 2x² + 2x 2x(3x² - x + 1) 5. 3m⁵ - 12m² 3m²(m³ - 4) 6. 4y² + 4y + 8 4(y² + y + 2) For 7-12, factor by using the Difference of Squares. Circle your final answer. 7. x² - 81 (x - 9)(x + 9) 8. m² - 49 (m - 7)(m + 7) 9. x² - y² (x - y)(x + y) 10. 4x² - 1 (2x - 1)(2x + 1) 11. 25y² - 9 (5y - 3)(5y + 3) 12. 100a² - 16 4(25a² - 4) 4(5a - 2)(5a + 2) For 13-18, factor by using the Box Method. Circle your final answer. 13. x² - 5x - 14 [Image of a box method factorization] (x + 2)(x - 7) 14. x² + x - 42 [Image of a box method factorization] (x - 6)(x + 7) 15. x² + 8x + 15 [Image of a box method factorization] (x + 3)(x + 5) 16. x² - 16x + 64 (x - 8)(x - 8) 17. x² + 12x + 36 (x + 6)(x + 6) 18. x² - 17x + 70 (x - 7)(x - 10) For 19-24, factor by using the Box Method. 19. 3x² - 13x + 4 [Image of a box method factorization] (3x - 1)(x - 4) 20. 4x² + 11x + 6 [Image of a box method factorization] (4x + 3)(x + 2) 21. 6x² - 5x - 4 [Image of a box method factorization] (2x + 1)(3x - 4) 22. 10x² - 2x - 8 2(5x² - x - 4) [Image of a box method factorization] 2(5x + 4)(x - 1) 23. 24x² - 1 (4x - 1)(6x + 1) 24. 8x² + 26x + 15 [Image of a box method factorization] (2x + 5)(4x + 3) For 25-28, factor by Grouping. 25. 2x³ + 12x² + 5x + 30 (2x² + 5)(x + 6) 26. 4x³ - 12x² + 5x - 15 (4x² + 5)(x - 3) 27. 8x³ + 64x² + x + 8 (8x² + 1)(x + 8) 28. 21x³ - 84x² + 15x - 60 3(7x³ - 28x² + 5x - 20) 3(7x² + 5)(x - 4) Steps for Factoring Polynomials: 1. Pull out the Greatest Common Factor if there is one. 2. Count the number of terms in the remaining polynomial. 3. If there are 2 terms, check for the special pattern: Difference of Perfect Squares: x² - a² = (x - a)(x + a) 4. If there are 3 or 4 terms, use the Box Method. For 29-49, factor completely. Circle your final answer. Remember the steps for factoring. 29. 24x² + 18x 6x(4x + 3) 30. 2x² + 14x + 24 2(x² + 7x + 12) [Image of a box method factorization] 2(x + 4)(x + 3) 31. x² - 12x - 45 [Image of a box method factorization] (x + 3)(x - 15) 32. x² - 25 (x + 5)(x - 5) 33. 2(4x² - 24x + 12) 2(4x² - 12x + 2x - 1) [Image of a box method factorization] 2(2x - 1)(2x - 1) 2(2x - 1)² 34. 3x² - 24x + 36 3(x² - 8x + 12) [Image of a box method factorization] 3(x - 6)(x - 2) 35. 3x² - 27 3(x² - 9) 3(x + 3)(x - 3) 36. 12x³ + 18x² + 6x + 9 3(4x³ + 6x² + 2x + 3) [Image of a box method factorization] 3(2x² + 1)(2x + 3) 37. 12x² + 10x - 8 2(6x² + 5x - 4) [Image of a box method factorization] 2(2x - 1)(3x + 4)

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