Question

determine which of the following polynomials has {x+1}a fator:x^2+x^2+x+1​

Answer 1

Step-by-step explanation:

x+1=0

x=-1

let p(x)=X

${x }^{2} + x { }^{2} + x + 1$

x=-1 sub in above eqn

(-1)

we get

${( - 1)}^{2} + ( - 1) {}^{2} + ( - 1) + 1$ p(x)=1+1-1+1 ( -1,+1 cancelled)

p(x)=2 ( ≠0)

so

x+1 is not a factor of p(x)