Question

Find a quardriatic polynomial,the sum and product of whose zeroes are -3 and 2 respectively​

Answer 1

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The general equation for quadratic polynomial is,

${x}^{2} - ( \alpha + \beta )x + \alpha \beta$

Given,

$\alpha + \beta = - 3 \\ \alpha \beta = 2$

required polynomial is,

${x}^{2} - ( - 3)x + 2 \\ {x}^{2} + 3x + 2$

Therefore the answer is,

${x}^{2} + 3x + 2$

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Answer 2

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