Question

X4+2x3+2x 2+x+1 polynomial has x+1as a factor

Answer 1

Answer:

let p(x)=x4+2×3+2×2+x+1 and g(x)=x+1

if g(x) is factor of p(x) then g(x)=0

so,x+1=0

x=(-1)

Step-by-step explanation:

by factor theorm ,g(x)will be a factor of p(x) if p(-1)=0

now,p(-1)=0

-1×4+2×3+2×2+(-1)+1

-4+6+4-1+1

6

hence x+1 is not factor of x4+2×3+2×2+x+1