Question

Aquatic polynomial whose zeroes are 5 and -3 is

Answer 1

A quadratic polynomial whose zeroes are 5 and -3 is [complete question]

Given:

An equation has zeroes 5 and -3

To find:

The quadratic equation

Solution:

Let the zeroes of the polynomial is a and b which are given in the question as 5 and -3:

a = 5

b = -3

Sum of the zeroes = a+b

5+(-3)

5-3

2

Product of the zeroes = ab

5.(-3)

-15

As we know that the quadratic equation is given by:

• x²+ (sum of the zeroes) x + product of the zeroes = 0
• x²+2x+(-15) = 0
• x²+2x-15 = 0

Hence the quadratic equation is x²+2x-15 = 0