Question

question
expand the expression to a polynomial in standard form:
(2x + 1)(-3x² - 6x - 4)

Explanation:

Step1: Distribute $2x$ to each term

$2x(-3x^2 - 6x - 4) = -6x^3 - 12x^2 - 8x$

Step2: Distribute $1$ to each term

$1(-3x^2 - 6x - 4) = -3x^2 - 6x - 4$

Step3: Combine like terms

$-6x^3 - 12x^2 - 8x - 3x^2 - 6x - 4 = -6x^3 + (-12x^2-3x^2) + (-8x-6x) - 4$

Answer:

$-6x^3 - 15x^2 - 14x - 4$