Determine if the Given Expression is a Factor x^2-1 , x+1

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

Step 1

If $x + 1$ is a factor of the polynomial, then it must be a root of the polynomial. To determine if the factor is a root, first find the value of $x$ when the factor $x + 1$ is equal to $0$ .

$x + 1 = 0$

Step 2

Solve the equation for $x$ .

$x = - 1$

Step 3

Replace $x$ with $- 1$ in $x^{2} - 1$ to find if it is a root of the polynomial.

${(- 1)}^{2} - 1$

Step 4

Raise $- 1$ to the power of $2$ .

$1 - 1$

Step 5

Subtract $1$ from $1$ .

$0$

Step 6

Since $x = - 1$ is a root of the polynomial, $x + 1$ is a factor of the polynomial.

$x + 1$ is a factor of $x^{2} - 1$

Determine if the Given Expression is a Factor x^2-1 , x+1

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