Question

Select the polynomial that can be factored as (4x-5)(16x^2+20x+25)

Answer 1

f(x) = 64x³ - 125

Multiply each term in the second factor by each term in the first factor

= 4x(16x² + 20x + 25) - 5(16x² + 20 x + 25)

=64x³ + 80x² + 100x - 80x² - 100x - 125

= 64x³ - 125 ← difference of cubes