Question

The profit function for a product is given by π(x) = −x3 + 28x2 − 57x − 450, where x is the number of units produced and sold. If break-even occurs when 6 units are produced and sold:
i. Find the quadratic factor of π(x).
ii. Find a number of units other than 6 that gives break-even for the product.

Answer 1

What i did so far was to divide the equation by 10

Which gave me -1 88 180 and the remainder 0

From there i factorized further

(-x2 + 88x + 180)(x-10)
-(x-90)(x+2)(x-10)

Answer 2

$hope \: it \: may \: help \: u$