Which of the following could be values for a, b, and c so that (3x -2)(2x-7) = ax^2 + bx+c?

a. a=6 b=25, c=14 b. a=6 b=-25, c=14

c. a=6 b=-24, c=-14 d. a=5, b=-25, c=-9

B. A=6 B=-25, C=14

Step-by-step explanation:

(3x -2)(2x-7)

Using FOIL

= 6x^2 - 21x - 4x + 14

= 6x^2 -25x + 14

So a = 6, b = -25 and c = 14

answer

B. A=6 B=-25, C=14

B

Step-by-step explanation:

Expand the factors and compare coefficients of like terms

(3x - 2)(2x - 7)

= 6x² - 21x - 4x + 14

= 6x² - 25x + 14

Compare coefficients to ax² + bx + c

ax² → 6x² ⇒ a = 6

bx → - 25x ⇒ b = - 25

14 → c ⇒ c = 14

a = 6, b= - 25, c = 14 → B

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step-by-step explanation: