Question

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

Answer 1

Answer:

2x² + 3x -2

Step-by-step explanation:

sum of zeros = -3/2

Product of zeros = -1

p(x) = x²- ( sum of zeros ) x + product of zeros

= x² + 3/2 x - 1 = 2x² + 3x -2

Hope this helps you. Please mark it as the branlisist.

Answer 2

Answer:

$\qquad\qquad\underline{\textsf{\textbf{ \color{magenta}{AnSwEr} }}}$

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.