Please ASAP What is the remainder when x3−2x2−51x−108 is divided by x−2?

Step-by-step explanation:

We have the function:

And we want to find the remainder when it is divided by .

We can use the Polynomial Remainder Theorem, where if we have a function divided by a binomial , then our remainder will be .

Here, our divisor is , so our a is 2.

Therefore, our remainder will be . Let's substitute this for x. This yields:

Evaluate. Do the exponents:

Multiply:

Subtract:

So, our remainder is -210.

And we're done!