Question

One of the factors of the polynomial x^3 - 5x^2 is x + 3. What is the other factor?​

Answer 1

`x^(2)-8 x+24-(72)/(x+3)`

Explanation:

Given polynomial p(x) = x³ – 5x²

One factor of the polynomial = x + 3

Let us find another factor of the polynomial:

To get other factor of p(x), we divide p(x) by a given factor (x + 3).

On division we get,

Quotient = x² – 8x + 24

Remainder = –72

The image of the division is attached below.

So the another factor of the polynomial is
`x^(2)-8 x+24-(72)/(x+3)`.