Question

Find the quadratic polynomial for the
zeros , 2 and - 5

pls find the answer frnds​

Answer 1

Given question -:

Find the quadratic polynomial for the

zeros , 2 and - 5

let's try to solve the question

Given zeros

$\alpha = 2 \: and \: \beta = - 5$

Now

$\alpha + \beta = 2 + ( - 5) = 2 -5 = - 3$

and

$\alpha \beta = 2 \times ( - 5) = - 10$

We have to find polynomial

so the formula to find polynomial when zeros are given

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

${x}^{2} - ( - 3)x + ( - 10)$

${x}^{2} + 3x - 10$

Hope this will help you

Thank you ..