Question

expand the expression to a polynomial in standard form:
(2x - 1)(3x^2 - 10x - 3)

Explanation:

Step1: Distribute $2x$ to each term

$2x \cdot 3x^2 + 2x \cdot (-10x) + 2x \cdot (-3)$
=$6x^3 - 20x^2 - 6x$

Step2: Distribute $-1$ to each term

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

Step3: Combine all expanded terms

$6x^3 - 20x^2 - 6x - 3x^2 + 10x + 3$

Step4: Combine like terms

$6x^3 + (-20x^2-3x^2) + (-6x+10x) + 3$
=$6x^3 -23x^2 +4x +3$

Answer:

$6x^3 -23x^2 +4x +3$