Question

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

Answer 1

Given : Sum of zeros = 5 and product of zeros = 17

So, quadratic polynomial is given by

=> f(x) = k {x² - x(sum of zeros) + product of zeros}

=> f(x) = k{x² - 5x + 17}, where, k is any non-zero real number,