If a polynomial function f(x) has roots 3 and mc001-1.jpg, what must also be a root of f(x)?

The possible third root of the polynomial is -√7

Given a polynomial function with the roots 3 and √7, we need to find the third possible root of the polynomial.

If we look at the first two roots that were given, we can see that;

Note that some of the roots of a polynomial always occur as a conjugate pair especially the irrational roots.

Since the irrational root that we have is √7, hence its conjugate pair will be -√7.

Hence the possible third root of the polynomial is -√7

Learn more on roots of polynomial here: link

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