Question

Tell whether the following binomial is a factor of the polynomial

binomial- (x+8)

Polynomial- x^5-8x^4+8x-64


Please help :)

Answer 1

Given polynomial

x⁵-8x⁴+8x-64= x⁴(x-8)+8(x-8)= (x-8)(x⁴+8)

after factorization of the given polynomial we didn't get any factor (x+8) , hence the following bionomial is not the factor of the polynomial.