Question

for each of the following, find a quadratic polynomial whose sum and product respectively of the zeroes are given. also find the zeroes of these polynomial
(I) 0,-3/5 please send the picture​

Answer 1

Step-by-step explanation:

assume a=3 as one root and b=-2/5 as the other.

Sum of roots=3+(-2/5)=13/5

Product of roots=3*-2/5= -6/5

Therefore, we form the equation using-

x^2 - (sum of roots)*x + (product of roots) = 0

x^2 - (13/5)*x + (-6/5) = 0

x^2 - 13x/5 - 6/5 = 0

if we take LCM and simplify, we finally get-

5x^2– 13x - 6 = 0.