Question

Find a quadratic polynomial , the sum and product of whose zeroes are 3 and -2/5 respectively.

Answer 1

Step-by-step explanation:

1. let a,b is the roots of the polynomial
2. polynomial=x2+(a+b)x+ab

Answer 2

Given sum of zeroes = – 3

product of zeroes = 3

We know quadratic polynomial = x2 – (sum of zeroes) x + (product of zeroes)

= x² – (– 3)x + (2)

= x²+ 3x + 2

Required Quadratic polynomial = x²+ 3x + 2