Factoring

Daniel Kevins

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Which integer is a prime factor of 20?

[removed] 8 [removed] 2
[removed] 4 [removed] 10
   
9. Find the prime factorization of 56.

[removed] 2 • 7 • 8 [removed] 1 • 2 • 2 • 2 • 8
[removed] 2 • 2 • 2 • 7 [removed] 1 • 56
Part 2
Select the best answer from the choices provided. (Each question is worth one point)
10. Find the GCF of 28 and 56.

[removed] 16 [removed] 28
[removed] 6 [removed] 12
11. Find the GCF of 68 and 104.

[removed] 68 [removed] 24
[removed] 22 [removed] 4
12. Factor 2a4b3 without using exponents.

[removed] 2 • a • a • a • a • b • b • b [removed] a • a • a • b
[removed] 3a • 4b [removed] 243ab
13. Factor -45 without using exponents.

[removed] -1 • 3 • 5 [removed] -1 • 3 • 3 • 5
[removed] -1 • 3 • 15 [removed] 3 • 3 • 5
14. Factor -54(a3b)2 without using exponents.

[removed] -1 • 2 • 3 • 3 • 3 • a • a • a • b • b [removed] a • a • a • a • b • b
[removed] -1 • 2 • 3 • 3 • 3 • a • a • a • a [removed] -1 • 2 • 3 • 3 • 3 • a • a • a • a • a • a • b • b
15. Find the GCF of -25a3b4, 45a6b5.

[removed] 5a2b3 [removed] 25a3b4
[removed] 5a3b4 [removed] 5ab
16. Find the GCF of 10ab5, 12a3b4, 16a2b3.

[removed] 2ab [removed] 2ab2
[removed] ab3 [removed] 2ab3
17. Find the GCF of 25a3b4, 45a6b5, 50ab.

[removed] 5abc [removed] 5ab
[removed] 25ab [removed] 5ab5
18. Simplify 8(a + 2)

[removed] 8a + 10 [removed] a + 8
[removed] 8a + 16 [removed] 8 + a + 16
Part 3
Select the best answer from the choices provided. (Each question is worth one point)
19. Divide (6a3 – 19a2 + 15a) by (2a – 3)

[removed] 3a2 – 5a [removed] 2a2 – 5
[removed] 3a – 5 [removed] 3a2 + 5
20. Factor 12a4 + 16a6 using the distributive property.

[removed] 4a4(3 + 4a) [removed] 4a2(3 + 4a2)
[removed] 4a4(3 + 4a2) [removed] 4a4(3a + 4a2)
21. Factor 21bc2 – 35c8 using the distributive property.

[removed] 7c2(3b – 5c8) [removed] 7c2(3b – 5c6)
[removed] 7c2(3 – 5c8) [removed] 7c2(3b + 5c8)
22. Factor 6x2y + 4xy2 + 3x + 2y by grouping.

[removed] (3x2 + 2y)(2x + 1) [removed] (3x + 2y2)(2xy + 1)
[removed] (3x + 2y)(2xy + 1) [removed] (3x + 2y)(2y + 1)
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Daniel Kevins

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