Question

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Answer 1

Answer:

-3

Solution:

The given polynomial can be factorised as

$(x-\sqrt{5})(x+\sqrt {5})(x+3)=0\\</p><p>\text{Thus third root / zero is x+3=0}\\</p><p>\implies \boxed{\textcolor{red}{x=-3}}$

Explanation:

(x-√5) and (x+√5) are factors of the polynomial by factor theorem.

Multiply them to get (x²-5) which is also a factor of the polynomial.

Divide the given polynomial by (x²-5) to get (x+3).

Follow the solution above.