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Aquatic polynomial whose zeroes are 5 and -3 is

Answer»

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


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