Answer:
2x³ + 6x² + 10x + 6
Step-by-step explanation:
When multiplying polynomials, you need to distribute and multiply each term from the first polynomial to each term in the second polynomial and then simplify by combining like terms. In this problem, there is a binomial multiplied by a trinomial, so each term needs to be multiplied and combined:
(x + 1)(2x² + 4x + 6)
= x(2x²) + x(4x) + x(6) + 1(2x²) + 1(4x) + 1(6)
= 2x³ + 4x² + 6x + 2x² + 4x + 6
= 2x³ + 6x² + 10x + 6
