Question

Sum and product of zeros of quadratic polynomial are 5 and 17 respectively. Find the polynomial.

Answer 1

Let the polynomial be $a{x}^2+bx+c$

the sum of polynomial is $\frac{-b}{a}=5$

the product of polynomial is $\frac{c}{a}=17$

let $a=1$

then

polynomial will be $x^2-5x+17$