Question

What is the resulting polynomial when

3x + 7 is multiplied by 2x – 6?
© 5x+1
B 6x - 42
© 6x2 - 4x - 42
D 6x2 + 9x - 42

Answer 1

C

Explanation:

Given

(3x + 7)(2x - 6)

Each term in the second factor is multiplied by each term in the first factor, that is

3x(2x - 6) + 7(2x - 6) ← distribute both parenthesis

= 6x² - 18x + 14x - 42 ← collect like terms

= 6x² - 4x - 42 → C