Question

Quadratic function whose zeros are 8 and 3?

Answer 1

Answer:

The required quadratic function is

$\therefore f(x)=x^{2} -11x+24$

Step-by-step explanation:

Given:

Let α and β be the zeros of the quadratic function.

∴ α = 8 and

∴ β = 3

To Find :

Quadratic function.

i.e f(x) =?

Solution:

he quadratic function in x when Alpha ( α ) and beta ( β ) are the zeros given by

$f(x) = x^{2} -(\alpha+\beta ) x +\alpha\times \beta\\\textrm{Substituting alpha and beta we get}\\= x^{2} -(8+3)x + 8\times 3\\\\\therefore f(x)=x^{2} -11x+24$

$\therefore f(x)=x^{2} -11x+24$

Which is the required quadratic function