Question

If α+β=-3and α*β=2,form a quadratic polynomial where α and β are the zeroes of the polynomial?​

Answer 1

${\large{\pink{\mathcal{ANSWER :}}}}$

Let, the quadratic polynomial be k( ax² + bx + c) , where k ≠0.

So,

α + β = -3 = -b / a

α × β = 2 = c / a

By comparing this value in k( ax²+bx+ c ) , we get x² + 3x + 2.

$\longrightarrow$So, the quadratic polynomial is x² + 3x + 2.

Answer 2

alpha+beta = -b/a

-b/a = -3 _____1

alpha×beta = c/a = 2 ________2

From 1 and 2 :

a = 1, b = 3, c = 2

Therefore the equation is : x^2 + 3x + 2 = 0

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