Question

expand the expression to a polynomial in standard form:
$(-4x + 5)(3x^2 - 2x - 1)$

Explanation:

Step1: Distribute $-4x$ to each term

$-4x \cdot 3x^2 + (-4x) \cdot (-2x) + (-4x) \cdot (-1) = -12x^3 + 8x^2 + 4x$

Step2: Distribute $5$ to each term

$5 \cdot 3x^2 + 5 \cdot (-2x) + 5 \cdot (-1) = 15x^2 - 10x - 5$

Step3: Combine like terms

$-12x^3 + (8x^2 + 15x^2) + (4x - 10x) - 5 = -12x^3 + 26x^2 - 6x - 5$

Answer:

$-12x^3 + 26x^2 - 6x - 5$