Question

what is the Quadratic polynomial the sum of whose zeroes is \sf\dfrac{ - 3}{ \: \: 2}2−3​
and the product of the zeroes is -1
​

Answer 1

Answer:

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Correct Question :-

what is the quadratic polynomial the sum of whose zeroes is -3/2 and the product of zeroes is -1.

Solution :-

❒ We Know that general form of any quadratic polynomial is :

${\small{\bold{\purple{\underline{x^2 - (Sum\: Of\: Zeroes)x + Product\: Of\: Zeroes}}}}}$

We have :

Sum of Zeroes = - 3/2

Product of zeroes = - 1

➙ $\sf x^2 - \bigg\{\dfrac{- 3}{2}\bigg\}\ x + (- 1)$

➙ $\sf x^2 + \dfrac{3}{2}x - 1$

➙ $\: \boxed{\sf{2x^2 + 3x - 2}}$

Henceforth, the required quadratic polynomial is 2x² + 3x - 2.