Question

mr. dewald’s algebra 2
chapter 4a quiz review
directions – multiply the polynomials by applying the distributive property.
13)
$(3x - 5)(2x^2 - x - 5)$
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Explanation:

Step1: Distribute $3x$ to each term

$3x(2x^2 - x - 5) = 6x^3 - 3x^2 - 15x$

Step2: Distribute $-5$ to each term

$-5(2x^2 - x - 5) = -10x^2 + 5x + 25$

Step3: Combine all distributed terms

$6x^3 - 3x^2 - 15x - 10x^2 + 5x + 25$

Step4: Combine like terms

$6x^3 + (-3x^2 -10x^2) + (-15x +5x) +25 = 6x^3 -13x^2 -10x +25$

Answer:

$6x^3 - 13x^2 - 10x + 25$