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If (\sqrt{3}) and (\sqrt{12}) are zeroes of a monic quadratic polynomial, what will be the coefficient of (x)?

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Answer and explanation

Correct answer: (-3\sqrt{3})

(\sqrt{12}=2\sqrt{3}), so the sum is (3\sqrt{3}). In a monic polynomial, the coefficient of (x) is the negative of the sum of zeroes.

Related tags

Radical-SimplificationMonic-PolynomialCoefficient

Frequently asked questions

What is the correct answer to this question?

(-3\sqrt{3})

Why is this the correct answer?

(\sqrt{12}=2\sqrt{3}), so the sum is (3\sqrt{3}). In a monic polynomial, the coefficient of (x) is the negative of the sum of zeroes.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Irrational numbers and real numbers.

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