94.0k views
1 vote
What are the possible coefficients of x^2 in the expansion of (2x-8)(7-3x)?

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

1 Answer

0 votes

Final answer:

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).

User Donshikin
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.