Question

The sum and product of a zeroes of quadratic polynomial are -⅓ and -2 respectively.find the quadratic polynomial

Answer 1

$3x^{2} + x - 6$

Answer 2

Given:-

Sum of zeroes=α+β=$\frac{-1}{3}$

Product of Zeroes=αβ=-2

To Find:-

The Quadratic Polynomial?

$\rule{200}{1}$

$\pink{\boxed{\green{\underline{\red{\mathrm{Proof:-}}}}}}$

★Formula is↓

→k[x²-(α+β)x+αβ]

★Putting the Values★

→k[x²-(-⅓)x+(-2)]

★Let k=3★

→3x²+x-6=0

♦The required Quadratic Polynomial is↓

→3x²+x-6

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