Question

find the quadratic polynomial whose zeros are 3 and 5

Answer 1

x² - 8x + 15 this is the equation formed

Answer 2

sum of roots(S) = 3+5 = 8
product(P) = 3x5 = 15
let polynomial formed be p(x)
we know ,
p(x) = k[x²+ Sx +P] where k belongs to real numbers.
p(x) = k [ x² + 8x + 15]
for any real different value of k we will have different quadratic polynomials whose sum is 8 and product is 15 .....
hope it helps ....plz mark me as brainliest......