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35 votes
Which polynomial is a product of (4x-3)(3x^2+5x-7)

User Urkman
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1 Answer

22 votes
22 votes

Answer:

f(x) = 12x³ + 11x² - 43x + 21

Explanation:

given the product of factors

(4x - 3)(3x² + 5x - 7)

multiply each term in the second factor by each term in the first factor, that is

4x(3x² + 5x - 7) - 3 (3x² + 5x - 7) ← distribute parenthesis

= 12x³ + 20x² - 28x - 9x² - 15x + 21 ← collect like terms

= 12x³ + 11x² - 43x + 21

then the polynomial is

f(x) = 12x³ + 11x² - 43x + 21