Answer:
<em>Answer: -1</em>
Step-by-step explanation:
<u>The Polynomial Remainder Theorem</u>
It states that the remainder of the division of a polynomial f(x) by (x-r) is equal to f(r).
We have the polynomial:
And we need to determine if x=1 and/or x=-1 are zeros of the polynomial.
Considering the polynomial remainder theorem, if we try any value for x, and the remainder is zero, then that value of x is a root or zero of the polynomial.
Find:
f(1)=4
Thus, x=1 is not a zero of f(x)
Now, find:
Thus, x=-1 is a zero of f(x)
Answer: -1