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Class 10MathematicsPolynomialsPolynomials in one variableHard
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If (\alpha) and (\beta) are zeroes of (x^2-3x-10), what is (\alpha^2\beta+\alpha\beta^2)?

Answer and explanation

Correct answer: (-30)

(\alpha^2\beta+\alpha\beta^2=\alpha\beta(\alpha+\beta)). Here (\alpha\beta=-10) and (\alpha+\beta=3), so the value is (-30).

Related tags

PolynomialsZeroesSymmetric ExpressionHardPolynomials In One VariableMathematicsClass 10 Mcq
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