Question

Multiply binomials by polynomials

Expand.
Your answer should be a polynomial in standard form.
(n2 – 3n+ 1)(2n + 3) =

Answer 1

2n³ - 3n² - 7n + 3

Explanation:

Given

(n² - 3n + 1)(2n + 3)

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

n²(2n + 3) - 3n(2n + 3) + 1(2n + 3) ← distribute the parenthesis

= 2n³ + 3n² - 6n² - 9n + 2n + 3 ← collect like terms

= 2n³ - 3n² - 7n + 3