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Subjects
Class 10MathematicsPolynomialsPolynomials in one variableExpertLevel 46
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If (\alpha+\beta=6) and (\alpha\beta=8), which monic polynomial has zeroes (\alpha+1) and (\beta+1)?

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Answer and explanation

Correct answer: (x^2-8x+15)

The new sum is (\alpha+\beta+2=8) and product is (\alpha\beta+\alpha+\beta+1=15). Thus the polynomial is (x^2-8x+15).

Related tags

Transformed-ZeroesConstruct-PolynomialExpert

Frequently asked questions

What is the correct answer to this question?

(x^2-8x+15)

Why is this the correct answer?

The new sum is (\alpha+\beta+2=8) and product is (\alpha\beta+\alpha+\beta+1=15). Thus the polynomial is (x^2-8x+15).

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Polynomials in one variable.

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  4. 4What is the degree of the polynomial p(x) = 4x^3 − 2x + 9?
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  7. 7Which polynomial is a quadratic polynomial?
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