66.4k views
2 votes
5. When the product (3x+2)(4x^2-7x+1) is found, what is the coefficient of the linear term?

(1) -11
(3) -14
(2) 8
(4) 12

User Bunglehead
by
4.5k points

1 Answer

4 votes

Answer:

1) -11

Explanation:

Given the expression (3x+2)(4x^2-7x+1) , for us to get the coefficient of the linear term, we need to expand the expression first.

(3x+2)(4x^2-7x+1) = 12x^3-21x^2+3x+8x^2-14x+2

= 12x^3-21x^2+8x^2+3x-14x+2

= 12x^3-13x^2-11x+2

From the expansion, the linear term is the term having its power of x to be 1. The linear term in the expression is -11x with coefficient of -11, therefore the coefficient of the linear term is -11

User Hexpheus
by
4.9k points