Question

Form a quadratic polynomial whose sum of zeroes is 15/4 and product of zeroes is 25/8.

Answer 1

alpha + beta = 15/4 = -b/a
alpha x beta = 25/8 = c/a
=x^2 - (alpha + beta)x + alpha x beta
=x^2 - 15x/4 + 25/8
=8x^2 - 30x + 25