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The expression 3x^2 + 10x + 8 can be written in the form (3x + A)(x + B) where A and B are integers. What is the value of A - B?

 Jan 28, 2022
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3x^2 + 10x + 8 =

3x^2 + 6x + 4x + 8 =

2(3x + 4) + x(3x + 4) = (3x + 4)(x + 2)

 

so (3x + A)(x + B) = (3x + 4)(x + 2).

 

4 - 2 = 2,

 

thus our answer is 2.

 Jan 28, 2022

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