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If a polynomial f(x) has a remainder of -6 when divided by x-5, what is f(5)?

If a polynomial f(x) has a remainder of -6 when divided by x-5, what is f(5)?-example-1

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7 votes

Answer:

Explanation:

The answer is just 5

f(5)=5

User Sandcar
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5 votes

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.

User Sapan Diwakar
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