Question

Find the value of p.​

Answer 1

p = 9

Step-by-step explanation:

There is no remainder when a polynomial is completely divided by divisor.

Here:

• divisor: (x - 6)

• polynomial: f(x) = x³ - 13x² + 6px - 72

Set to zero:

• (x - 6) = 0

• x = 6

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