If (3x+7)(2x-5)=Ax2+Bx+C, what is the value of B?

Question

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Answer 1

Just multiply out the first expression (on the left) using the FOIL method (First, Outer, Inner, Last):

(3x + 7)(2x - 5)

F = First terms of both parentheses:
3x * 2x = 6x²

O = Outer terms of the parentheses:
3x * -5 = -15x

I = Inner terms of the parentheses:
7 * 2x = 14x

L = Last terms of the parentheses:
7 * -5 = -35

Now add them all up:
6x² - 15x + 14x - 35

Combine your x terms and you will get:
6x² - x - 35

Now it's straightforward to map this to your A, B and C values:

A = 6, B = -1, C = -35

Answer 2

1) multiply the factors and get 6x^2-x-35.

2) Then B would be -1

3) A=6 and C=-35