Question

if the sum of the zeros of quadratic polynomial f(x)=x2-4x+k is 3 find the value of k​

Answer 1

Answer:

Have a nice day...

Step-by-step explanation:

Here, given that if the product of the zeros of quadratic polynomial f(x)=x2-4x+k is 3.

then, the equation of quadratic formula is..

$f(x) = {x}^{2} - ( \alpha + \beta ) x + \alpha \beta$

when α and β are the two roots..

therefore, given quadratic polynomial is

$f(x) = {x}^{2} - 4x + k$

and, also given that

$\alpha \beta = 3$

so, comparing these....

we get...

$\alpha \beta = k = 3$

so, the value of k is 3.

thanks a lot...