Question

1 whether the X + 1 is a factor of polynomial
1.
${x}^{3} + {x}^{2} - x + 1$
​

Answer 1

Answer:

$(x+1)$ is NOT a factor of the polynomial  $x^3+x^2-x+1$.

Step-by-step explanation:

We need to check whether $(x+1)$ is a factor of $x^3+x^2-x+1$.

$(x+1)$ is a factor of the given polynomial if -1 is a zero of the polynomial.

That is when we substitute $x=-1$ in the given polynomial, we should get the value zero.

Thus we have,

$(-1)^3+(-1)^2-(-1)+1=-1+1+1+1=2$

Since the value is not zero, $(x+1)$ is not a factor of the polynomial.

Answer 2

Answer:

x+1 is not the factor of tex] {x}^{3} + {x}^{2} - x + 1[/tex]