5. [8.02] What are the factors of 6a2 + 2ab + 21a + 7b? (4 points)
(6a + b)(a + 7)
(6a + 7)(a + b)
(2a + b)(3a + 7)
(2a + 7)(3a + b)

6. [8.02] Identify the factors of 8ab − 10a + 12b − 15. (3 points)
(2a + 5)(4b − 3)
(2a − 5)(4b + 3)
(2a − 3)(4b + 5)
(2a + 3)(4b − 5)

7. [8.02] Factor completely: 2x3 + 10x2 + 14x + 70 (4 points)
(2x2 + 14)(x + 5)
(x2 + 7)(2x + 10)
2(x3 + 5x2 + 7x + 35)
2[(x2 + 7)(x + 5)]

8. [8.03] Determine the factors of x2 − 10x + 24. (3 points)
(x + 6)(x + 4)
(x − 3)(x − 8)
(x + 3)(x + 8)
(x − 6)(x − 4)

Question

5.   [8.02]  What are the factors of 6a2 + 2ab + 21a + 7b?  (4 points)
(6a + b)(a + 7)
(6a + 7)(a + b)
(2a + b)(3a + 7)
(2a + 7)(3a + b)

6.   [8.02]  Identify the factors of 8ab − 10a + 12b − 15.  (3 points)
(2a + 5)(4b − 3)
(2a − 5)(4b + 3)
(2a − 3)(4b + 5)
(2a + 3)(4b − 5)

7.   [8.02]  Factor completely: 2x3 + 10x2 + 14x + 70  (4 points)
(2x2 + 14)(x + 5)
(x2 + 7)(2x + 10)
2(x3 + 5x2 + 7x + 35)
2[(x2 + 7)(x + 5)]

8.   [8.03]  Determine the factors of x2 − 10x + 24.  (3 points)
 (x + 6)(x + 4)
(x − 3)(x − 8)
(x + 3)(x + 8)
(x − 6)(x − 4)

anonymous · Answer

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callisto · Answer

First, take out the common factor of the like terms
6a^2 + 2ab + 21a + 7b
= 2a(3a+b) + 7(3a+b)
Then take out the common factor again
= (3a+b)(2a+7)

Can you try the rest of the question?

anonymous · Answer

Callisto thank you for all your help I understand this now :)

callisto · Answer

welcome :)