Question

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

Answer 1

Answer:

$x^{2}-8 x+24-\frac{72}{x+3}$

Step-by-step 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 $x^{2}-8 x+24-\frac{72}{x+3}$.