Question

P(x)=x³+x²+x+1
Check whether x+1 is a factor of p(x)?
ans) if x+1 is factor we want to check p(-1).
P(-1)=-1³+-1²+-1+1=-1+1-1+1=0
here, p(-1)=0
So, x+1 is a factor of p(x)

Answer 1

p(x) =x³+x²+x+1

p(-1)=(-1)³+(-1)²+(-1)+1

p(-1)=-1+1-1+1

p(-1)=-2+2

p(-1)=o

yes( x+1) is factor of x³+x²+x+1