Question

How to find quadratic polynomial if zeros are given?

Answer 1

Use the formulas given below:

alpha + beta = -b/a

alpha x beta = c/a

You will get a, b and c

x²-(sum of zeros)x+product of zeros

For example,

if a quadratic polynomial whose zeroes are 3 and 2

sum of zeros →3 + 2→5

product of zeros → (3)(2)=6

then, quadratic polynomial will be

x²-5x+6