Question

expand the expression to a polynomial in standard form:
$(-2x - 1)(x^2 + 9x + 3)$

Explanation:

Step1: Distribute $-2x$ to each term

$-2x(x^2 + 9x + 3) = -2x^3 - 18x^2 - 6x$

Step2: Distribute $-1$ to each term

$-1(x^2 + 9x + 3) = -x^2 - 9x - 3$

Step3: Combine the two results

$(-2x^3 - 18x^2 - 6x) + (-x^2 - 9x - 3)$

Step4: Combine like terms

$-2x^3 + (-18x^2 - x^2) + (-6x - 9x) - 3 = -2x^3 - 19x^2 - 15x - 3$

Answer:

$-2x^3 - 19x^2 - 15x - 3$