Question

The quadratic polynomial whose sum and product of its zeroes as 5 and -14 is​

Answer 1

$\huge{\bf{\orange{\fbox{\underline{\color{blue}{Answer}}}}}}$

let the quadratic equation be ax²+bx+c

let its zeroes be

$\alpha$ and beta.

given : alpha + beta = 5

therefore, alpha = 5 - beta

and : alpha × beta = -14

(5- beta )×beta =-14

5beta - (beta)² =-14

or

( beta )²-5beta -14=0

☆ (beta)² -7beta +2beta -14=0

beta (beta -7) +2(beta-7) =0

(beta +2)(beta-7) =0

beta =-2 or beta =7

if beta =-2 then alpha =5- beta = 5-(-2)=7

if beta =-2 then alpha =5- beta = 5-(-2)=7if beta =7 then alpha =5- beta =5-(7) = -2...

$<b><marquee>$mark me as brainliest