Question

By factor theorem Show that (X+4)is factor of x^4+3x^3-4x^2+X+4​

Answer 1

Answer:

g(x)=x+4=0

x=-4

p(x)=x⁴+3x³-4x²+x+4

(-4)⁴+3(-4)³-4(-4)²+(-4)+4

256-192-64-4+4

=0

therefore, g(x) is a factor p(x)