Question

the polynomial x^2+9 is a factor of x^5+x^4-81x-81
Is this statement true or false.

Answer 1

Hello from MrBillDoesMath!

Answer:

True

Discussion:

Long division shows that

x^5 + x^4 - 81 x - 81 = (x^3 + x^2 - 9 x - 9) × (x^2 + 9)

Thank you,

MrB