Question

Find a quadratic Polynomial, the sum and product of whose zeroes are -3 and 2, respectively.

➡(Class 10th)

➡Answer should be step by step.

➡No Spams otherwise will be reported.

Answer 1

Hey!!!

As promised I am here to help you

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let the sum of zeros be S and product be P

ATQ,

=> S = -3
=> P = 2

Required Polynomial = k(x² - Sx + P)
where k is any real number

=> k(x² + 3x + 2) <<<< Answer

Thus the required Quadratic Polynomial is x² + 3x + 2

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Hope this helps ✌️

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Method Source - Mr.RD Sharma

Answer 2

Heya mate,
here is your answer,
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Let α and β be the two roots of the equation

Given,

a + B = -3
aB = 2

A quadratic polynomial can be written in the form:

p(x) = x2 – (sum of roots) x + product of roots

p(x) = x2 – (α + β) x + αβ = 0

$p(x) = {x}^{2} - ( - 3)x + 2$

$p(x) = {x}^{2} + 3x + 2$


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