Question

using long division method, show that the polynomial p(x)= x^3+1 is divisible by q(x)=x+1.verify your result using factors theorem​

Answer 1

p (x)= x^3+1

q (×)=×+1

Long divison method shows in image above.

By using factor theorem,

x+1=0

x=-1

p (-1)=(-1)^3+1

=-1+1

p (x)=0

q (x) is a factor of p (x)