Question

Find a quadratic polynomial whose sum and product of its zeroes respectively are 0 and -3/5

Answer 1

Answer:

Use the direct formula to get a quadratic equation when its sum of the roots and product of the roots are given, that is x2

- (sum of zeros) x + (product of zeros)=0.

Complete step-by-step answer:

A quadratic polynomial is a polynomial of degree 2 or simply a quadratic, is a polynomial function with one or more variables in which the highest-degree term is of the second degree.

We have been asked to find a quadratic polynomial.

We have been given the sum of zero’s as 5.

Product of zero’s as 6.

The formula for a quadratic polynomial is given by,

x2

- (sum of zeros) x + (product of zeros)

Thus by substituting these values we can get our quadratic polynomial as x2−5x+6=0

.