Factor by grouping.
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A) x(x + b)
B) x(x + b) + 5
C) (x + 5)(x + b)
D) x(x + 5)

Question

Factor by grouping.
-
A) x(x + b) 
B) x(x + b) + 5 
C) (x + 5)(x + b) 
D) x(x + 5)

Quizplus · Accepted Answer

Factor by grouping involves looking for common factors among pairs of terms and factoring them out. In this case, we can group the first two terms and the last two terms:
11ebb63d_1b6c_af70_b851_cd2e250c5ee5_TB8475_11= (x^2 + 5x) + (bx + 5)
We can then factor out an x from the first group and a 5 from the second group:
x(x + 5) + b(x + 5)
Now we have a common factor of (x + 5), which we can factor out:
(x + 5)(x + b)
Therefore, the best choice is C. Factor by grouping the terms with a common factor: 
x² + bx + 5x + 5b 
= x(x + b) + 5(x + b) 
= (x + 5)(x + b)

Factor by Grouping. -