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Class 10MathematicsQuadratic EquationsRoots of a Quadratic EquationHardLevel 32
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If (\alpha) and (\beta) are roots of (x^2-4x-21=0), what is the value of (\alpha^2\beta+\alpha\beta^2)?

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Answer and explanation

Correct answer: (-84)

(\alpha^2\beta+\alpha\beta^2=\alpha\beta(\alpha+\beta)). Here (\alpha\beta=-21) and (\alpha+\beta=4), so the value is (-84).

Related tags

RootsExpressionIdentity

Frequently asked questions

What is the correct answer to this question?

(-84)

Why is this the correct answer?

(\alpha^2\beta+\alpha\beta^2=\alpha\beta(\alpha+\beta)). Here (\alpha\beta=-21) and (\alpha+\beta=4), so the value is (-84).

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Roots of a Quadratic Equation.

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