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