Question

Which of the following is a factor of 2x3 – 2?

Answer 1

I hope this helps you

Answer 2

Answer:

The factor of:

               $2x^3-2$ is:

         $x^2+x+1$

Step-by-step explanation:

We are asked to find the factor of  the algebraic expression which is given by:

               $2x^3-2$

we know that:

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

which could again be written by:

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

Since,. we know that:

$x^3-a^3=(x-a)(x^2+a^2+ax)$

Here a=1 hence,

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

Hence, the factors of:

$2x^3-2$ are $2,(x-1)\ and\ x^2+x+1$

               Hence, the answer is:

                      $x^2+x+1$