Question

10. The sum and product of the zeroes of a quadratic polynomial are -1/2 and 3 respectively. What is
the quadratic polynomial?​

Answer 1

Answer:

x² + 1/2x + 3

Step-by-step explanation:

let the zeros of the quadratic polynomial be α and β

given that,

α + β = -1/2

αβ = 3

we know that,

quadratic polynomial in which α and β are the zeros of it = x² - (α + β)x + αβ

by putting the values,

x² - (-1/2)x + 3

x² + 1/2x + 3

so,

the quadratic polynomial will be

x² + 1/2x + 3

hope it helps

Answer 2

Step-by-step explanation:

$to \: find \: any \: quadratic \: polnomial \\ we \: have \: formula \\ = k ( {x}^{2} + ( \alpha + \beta )x + \alpha \beta )$

We have,

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

$\alpha \beta = 3$

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

If

If k=2

.therefore

It will

${2x}^{2} - 1 + 6$

This will your required quadratic polynomial