Answer:
[tex]x^{2}-8 x+24-\frac{72}{x+3}[/tex]
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 [tex]x^{2}-8 x+24-\frac{72}{x+3}[/tex].
