Answer:
A
Step-by-step explanation:
multiply each of the terms in the second factor by each of the terms in the first factor, that is
x(x² - 7x + 4 ) + 2(x² - 7x + 4 ) ← distribute both
= x³ - 7x² + 4x + 2x² - 14x + 8 ← collect like terms
= x³ - 5x² - 10x + 8 → A
Distribute sum groups
x(x^2 - 7x + 4) + 2(x^2 - 7x + 4)
Distribute
x^3 - 7x^2 + 4x + 2(x^2 - 7x + 4)
x^3 - 7x^2 + 4x + 2x^2 - 14x + 8
Collect like terms
x^3 + (-7x^2 + 2x^2) + (4x - 14x) + 8
Simplify
x^2 - 5x^2 - 10x + 8
Answer: A. x^2 - 5x^2 - 10x + 8
