Question

Consider the polynomial below.

(-4x-2)( -5x +3)
Which expression shows the first step of the distributive process?
9 of 11 QUESTIONS
O 1-4x-2)(-5x)+(- 4x - 2)13)
O 1-6x)(-5x+3)
0 (- 4x -5x)(-2) + (- 4x +3)(-2)
O (-4x − 2)(-2x)

Answer 1

(-4x - 2)(-5x) + (-4x - 2)(3)

Explanation:

Your polynomial is

(-4x - 2)(-5x + 3)

The distributive property states that

a(b + c) = ab + ac

Let a = -4x - 2. Then

(-4x - 2)(-5x + 3) = a(5x + 3) = a(-5x) + a(3)

Substitute the value of a.

a(-5x) + a(3) = (-4x - 2)(-5x) + (-4x - 2)(3)

You have just distributed the first binomial (-4x - 2) among the terms of the second binomial.