Answer :
Answer:
The required quadratic function is
[tex]\therefore f(x)=x^{2} -11x+24[/tex]
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
[tex]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[/tex]
[tex]\therefore f(x)=x^{2} -11x+24[/tex]
Which is the required quadratic function