Question

expand the expression to a polynomial in standard form:
$(4x - 3)(3x^2 - 5x - 8)$

Explanation:

Step1: Distribute $4x$ to each term

$4x \cdot 3x^2 + 4x \cdot (-5x) + 4x \cdot (-8) = 12x^3 - 20x^2 - 32x$

Step2: Distribute $-3$ to each term

$-3 \cdot 3x^2 + (-3) \cdot (-5x) + (-3) \cdot (-8) = -9x^2 + 15x + 24$

Step3: Combine like terms

$12x^3 + (-20x^2 -9x^2) + (-32x +15x) +24 = 12x^3 -29x^2 -17x +24$

Answer:

$12x^3 - 29x^2 - 17x + 24$