Question

Find the qudratic polynomial whose sum of Zeroes is -3 and product of Zeroes is 5.​

Answer 1

Sum of zeros of a quadratic polynomial

= α+β= -b/a

product of zeros of quadratic polynomial= αβ=c/a

A quadratic polynomial is given by

k (x^2- (α+β)x+ αβ)

putting the values

k( x^2- (-3)x + 5)

k( x^2 +3x+ 5)

This is the req. polynomial.