Question

what is the quadratic polynomial whose sum of zeroes is -3/2 and product of zeroes is -1 please answer it very fast ⚠️⚠️⚠️⚠️⚠️​

Answer 1

Step-by-step explanation:

As per question,

α+β=−3/2

α×β=−1

The quadratic polynomial,

x^2−(sum of the roots)x + (product of the roots) =0

x ^2 −(−3/2 )x −1=0

x ^2+(3 /2 )x −1=0

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Answer 2

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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.