Question

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

Answer 1

Hey!!
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◾Given that ,

Sum of Zeroes = -3/2

Product of zeroes = -1

◾We need to find P ( x )

✔That can be done using formula

$= > > x {}^{2} - sx + p$

Here S and P denote Sum and Product respectively.

Hence we have ,

$p(x) = x {}^{2} + \frac{3}{2} x - 1$



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Answer 2

Answer:

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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.