Question

Write the quadratic polynomial, the product and the sum of whose zeroes are -13/5 and -3/5.

Answer 1

we know that general formula
x^2-(alpha+beta)+alpha ×beta =0
hence
x^2-(-13/5)x+(-3/5)=0
x^2+13/5-3/5=0
by taking LCM we can get the equation as
5x^2+13x-3=0
hence is the required equation