Question

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

Explanation:

Step1: Apply distributive property (FOIL)

$2x(3x^2 - 5x - 4) - 5(3x^2 - 5x - 4)$

Step2: Expand each term

$6x^3 - 10x^2 - 8x - 15x^2 + 25x + 20$

Step3: Combine like terms

$6x^3 + (-10x^2 -15x^2) + (-8x +25x) + 20$

Step4: Simplify the combined terms

$6x^3 -25x^2 +17x +20$

Answer:

$6x^3 -25x^2 +17x +20$