Question

$5x3 + x2 - 5x - 1.g{x} = x + 1$
use the factor theorem to determine whether g(x)is a factor of f(x) ​

Answer 1

Step-by-step explanation:

if x-1 is a factor of polynomial

then X=-1 should be a zero of polynomial

f(X)=5x³ + x² - 5x - 1

f(-1)==5(-1)³ +(-1)²-5(-1)-1

f(-1)=-5+1+5-1

f(-1)=0

since we get 0 , therefore g(x) is a factor of f(x)