The remainder theorem states that when a polynomial f(x) is divided by x-a, the remainder is f(a).Therefore, if the remainder when f(x) is divided by x-5 is -6, then f(5) = -6.
We know that the remainder when f(x) is divided by x-5 is -6, so we can write:
f(x) = (x-5)q(x) - 6
where q(x) is the quotient of the division. Substituting x=5 into this equation, we get:
f(5) = (5-5)q(x) - 6 = -6
Therefore, f(5) is -6.