Answer:
p = 9
Explanation:
There is no remainder when a polynomial is completely divided by divisor.
Here:
- polynomial: f(x) = x³ - 13x² + 6px - 72
Set to zero:
Insert into equation.
f(6) = 0
(6)³ - 13(6)² + 6p(6) - 72 = 0
216 - 468 + 36p - 72 = 0
-324 + 36p = 0
36p = 324
p = 324/36
p = 9
