Question

What is the product of the polynomials below?

(x + 2)(2x^2 + 9x + 8)

A. 2x^3 + 13x^2 - 26x + 16
B. 2x^3 + 17x^2 + 22x + 16
C. 2x^3 + 13x^2 + 26x + 16
D. 16x^3 + 72x^2 + 46x - 16

Answer 1

you multiply the terms i n the second bracket by x then multiply them by + 2 then simplify
= 2x^3 + 9x^2 + 8x + 4x^2 + 18x + 16
now add like terms

= 2x^3
- now add the like terms :- 9x^2 + 4x^2 = 13x^2 and so on