Answer:
y = -4x(x-2)(x+5)
Step-by-step explanation:
Given the function:
y = - 4x^3 – 12x^2 + 40x
We are to write it in its factored form a shown:
- 4x^3 – 12x^2 + 40x
First factor out -4x from the function to have:
y = -4x (x^2 + 3x - 10)
Factorize the function in bracket as shown:
y = -4x (x^2 + 3x - 10)
y = -4x (x^2 + 5x - 2x- 10)
y = -4x (x(x+5) -2(x + 5))
y = -4x(x-2)(x+5)
Hence the function in its factored form is y = -4x(x-2)(x+5)