Question

What are the possible coefficients of x^2 in the expansion of (2x-8)(7-3x)?

A) -6
B) -14
C) 6
D) 14

Answer 1

The possible coefficient of x^2 in the expansion of (2x-8)(7-3x) is -6, which is found by multiplying the x terms from each binomial.

Step-by-step explanation:

The question is asking for the coefficient of x^2 in the expansion of the expression (2x - 8)(7 - 3x). To find this, we need to use the distributive property (FOIL method) to expand the binomials.

First, multiply the terms that will produce the x^2 term:

2x * (-3x) = -6x^2

Therefore, the coefficient of x^2 in the expansion is -6, which corresponds to option (A).