Which of the following represents the factored form of f(x) = x3 − 64x?

x(x + 8)(x - 8)

Step-by-step explanation:

Given

x³ - 64x ← factor out x from each term

= x(x² - 64) ← x² - 64 is a difference of squares

= x(x + 8)(x - 8) ← in factored form

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form

a reflection across the x axis and a 90 degree rotation left and right.