Question

Form a quadratic polynomial whose zeroes are 2 by 3 and -1 by 3

Answer 1

ANSWER

Let α and β are the roots of given Quadratic polynomial.

Given:

α+β=3,αβ=2

Quadratic polynomial:

x

2

−(α+β)x+(αβ)

∴ Polynomial is x

2

−3x+2

Option C is correct.

Answer 2

Answer:

$\alpha =\frac{2}{3} \\\beta = \frac{-1}{3} \\Sum of zeroes:\\ \alpha +\beta = \frac{2}{3} + \frac{-1}{3} = \frac{2-1}{3} = \frac{1}{3}\\ Product of zeroes :\\\alpha \beta = \frac{2}{3} *\frac{-1}{3}= \frac{-2}{9} \\ We know that x^{2} -Sx+P\\So, x^{2} -\frac{1}{3} x +\frac{-2}{9}$

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