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If (a+\sqrt{b}) and (a-\sqrt{b}) are zeroes of a monic quadratic polynomial, what is the constant term?
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Answer and explanation
Correct answer: (a^2-b)
In a monic polynomial, the constant term is the product of zeroes. Here the product is ((a+\sqrt{b})(a-\sqrt{b})=a^2-b).
Frequently asked questions
What is the correct answer to this question?
(a^2-b)
Why is this the correct answer?
In a monic polynomial, the constant term is the product of zeroes. Here the product is ((a+\sqrt{b})(a-\sqrt{b})=a^2-b).
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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