Question

Is the term (x+1) a factor of the polynomial shown below?
f(x)=x^3-10x^2+27x-12

Answer 1

No, the remainder is -50.

Explanation:

Answer 2

We can tell if this is a factor of the polynomial shown by using the remainder theorem.

First, we need to set x + 1 equal to 0.

x + 1 = 0

Now, we solve for x.

x = -1

Now, we can plug this value into the polynomial, and if the solution is 0, it means there is a remainder of 0, which means they divide perfectly.

(-1)^3 - 10(-1)^2 + 27(-1) - 12 = -50

x + 1 is not a factor of the provided polynomial.