Question

Write a qudratic polynomial whose sum & product are
O ,-5. respectively
​

Answer 1

Let S and P denote the sum and product of zeros of required quadratic polynomial

Given:

0 and -5 are the zeros of required polynomial

Now,

★Sum of Zeros:

0 + (-5)

= -5

★Product of zeros:

(0)(-5)

= 0

Required Polynomial:

x² -Sx +P

=x² -(-5)x +0

=x²+5x

Thus,x²+5x is the required quadratic polynomial