Question

determine which of the following polynomials has (X + 1) close a factor x power 3 + x power 2 + X + 1​

Answer 1

LET THE x is -1

$p(x) = {x}^{3} + {x}^{2} + x + 1$

$p( - 1) = ({ - 1})^{3} + ({ - 1})^{2} + ( - 1) + 1$

$= - 1 + 1 - 1 + 1$

so the answer is 0

it means (x+1) is the factor of x power 3+ x power 2 + x + 1

i hope it is halp full (*^▽^*)

Answer 2

Answer:

LET THE x is -1

p(x) = {x}^{3} + {x}^{2} + x + 1p(x)=x3+x2+x+1

p( - 1) = ({ - 1})^{3} + ({ - 1})^{2} + ( - 1) + 1p(−1)=(−1)3+(−1)2+(−1)+1

= - 1 + 1 - 1 + 1=−1+1−1+1

so the answer is 0

it means (x+1) is the factor of x power 3+ x power 2 + x + 1

i hope it is helpful answer *^▽^*