Question

The sum of the zeroes and the product of zeros of a quadratic polynomial are -1/2 and -3 respectively, "write" the polynomial

Answer 1

Answer:

see the attachment.

Step-by-step explanation:

Answer 2

$\boxed{\color{Red}{ANSWER}}$

Let their Zeros be Alfa and Beta

$\alpha + \beta = - \frac{1}{2} \\ \alpha \beta = - 3$

We know that , the standard form of a quad. Eqn

$k({x}^{2} - (s)x +( p))$

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

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

$k( \frac{2 {x}^{2} + x - 6}{2} )$

Assuming that k = 1/2 , The Required Eqn is

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

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