Question

Which is equivalent to this expression?

(z + )(27+ + 3z + 5)
A. 2? + 67% + 30
B. Z + 152? + 23% + 30
C. 22° + 672 + 30
D. 22° + 152? + 23z + 30

Answer 1

D

Explanation:

(z + 6)(2z² + 3z + 5)

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

z(2z² + 3z + 5) + 6(2z² + 3z + 5) ← distribute parenthesis

= 2z³ + 3z² + 5z + 12z² + 18z + 30 ← collect like terms

= 2z³ + 15z² + 23z + 30