Answer:
[tex]\frac{x^3 + x^2 -20x + 24}{x-3} = x^2 +4x-8[/tex]
Step-by-step explanation:
Given;
p(x) = x³ + x²- 20x + 24
factor of p(x) = x-3
Apply long division method;
x² + 4x - 8
------------------------------
x - 3 √ x³ + x²- 20x + 24
-( x³ - 3x²)
-------------------------------
4x² - 20x + 24
-(4x² -12x )
-------------------------------
-8x + 24
- (-8x + 24)
-----------------------------------------
0
[tex]thus, \ \frac{x^3 + x^2 -20x + 24}{x-3} = x^2 +4x-8[/tex]
