# Construct the a quadratic equation if the sum and the product of the roots are 3 and -2 respectively

2
by Aliyaa

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by Aliyaa

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Let the roots of the polynomial be α and β

Given α+β = 3

and αβ = -2

WE know that the quadratic polynomial when α and β are the roots is

x² - (α+β)x + αβ

= x² - (3)x + (-2)

= x² - 3x - 2

∴The quadratic polynomial is x²-3x-2

Given α+β = 3

and αβ = -2

WE know that the quadratic polynomial when α and β are the roots is

x² - (α+β)x + αβ

= x² - (3)x + (-2)

= x² - 3x - 2

∴The quadratic polynomial is x²-3x-2