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Suppose a polynomial of degree for with rational coefficient has been given numbers as zeros find the other zero. -4, square root of 5, 13/2

User Tua Tara
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If -4, √5 and 13/2 are roots of the polynomial the other root is -√5.

How to determine roots of polynomial.

Given that the zeros are

-4, √5 and 13/2.

Meanwhile, the surds roots of a polynomial occurs in congugate pairs.

If +√a is a root of polynomial, then -√a is also a root.

Since √5 is a root of the polynomial, -√5 is a root of the polynomial too.

The polynomial is of degree four. This indicates that it has at most points where it touches or crossed the x- axis.

Therefore, if -4, √5 and 13/2 are roots the other root is -√5.

User Hill
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