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Type question here. Let f(x) be a polynomial such that f(-1/2)=0, then a factor of f(x) is .?
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Type question here. Let f(x) be a polynomial such that f(-1/2)=0, then...

Factor of f(x) given f(-1/2) = 0



Explanation:

- Given that f(-1/2) = 0, this means that x = -1/2 is a root of the polynomial f(x).
- If x = -1/2 is a root of f(x), then (x + 1/2) must be a factor of f(x) by the Factor Theorem.
- This means that f(x) can be expressed as f(x) = (x + 1/2) * q(x), where q(x) is another polynomial.
- Therefore, the factor of f(x) given f(-1/2) = 0 is (x + 1/2).



Summary:

- When a polynomial f(x) has a root at x = -1/2, then the factor of f(x) is (x + 1/2) according to the Factor Theorem.
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Type question here. Let f(x) be a polynomial such that f(-1/2)=0, then a factor of f(x) is .?
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