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Algebra worksheet for factoring polynomials with instructions to check by multiplying factors or write "prime."

A worksheet with algebra problems focused on factoring polynomials, including quadratic expressions with variables like x, y, and z, and instructions to check by multiplying the factors or write "prime" if not factorable.

A worksheet with algebra problems focused on factoring polynomials, including quadratic expressions with variables like x, y, and z, and instructions to check by multiplying the factors or write "prime" if not factorable.

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Show Answer Key & Explanations Step-by-step solution for: Grade 9 algebra] is their a faster way to do these problems, it ...
1. (3x + 1)(x + 2)
2. (2x + 3)(x + 1)
3. (3c - 5)(c - 1)
4. prime
5. prime
6. (3a - 2)(a + 2)
7. prime
8. (3r - 5)(r + 1)
9. (7x + 1)(x + 1)
10. (2p + 1)(p + 3)
11. (5x - 2)(x - 3)
12. (7m - 2)(m - 1)
13. (3p - 2)(p + 3)
14. (2c - 1)(2c + 3)
15. (4y + 3)(y - 1)
16. prime
17. -(6x + 5)(x - 1)
18. -(8k - 3)(k + 3)
19. -(8b - 1)(b + 1)
20. -(4s - 1)(s - 7)
21. (3m + 2n)(m + 3n)
22. (2p - 3q)(p - 2q)
23. (2x + 3y)(x - y)
24. prime
25. (9m + 2n)(m - 3n)
26. (2h + 5k)(3h + 2k)
27. (6p - 5r)(p - r)
28. (2x - y)(2x + 9y)
29. (7c - 6)(3c + 2)
30. (9z - 4)(2z + 3)
31. -(5a - 3)(4a + 2)
32. -(9r - 4)(2r - 2)
33. (8n - 5)(4n + 3)
34. (11u - 7)(3u + 2)
35. (7c - 6)(3c + 4)
36. (7y - 6)(5y + 4)
37. (2a + 7)(a + 1)
38. (2x - 7)(x + 1)
39. (2a + 4b - c)(a + 2b + 3c)
40. (2x - 2y - 5z)(x - y + z)
41. (2x - 1)(2x + 1)(x - 2)(x + 2)
42. (2x - 9)(x - 3)(x + 3)
43. (y^2 + 3y - 4)(y^2 + 3y + 2) = (y + 4)(y - 1)(y + 2)(y + 1)
44. (a^2 - 4a - 5)(a^2 - 4a + 3) = (a - 5)(a + 1)(a - 3)(a - 1)
Parent Tip: Review the logic above to help your child master the concept of algebra problems.
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