Question

find a quadratic polynomial each with the given number as the sum and product of its zeros represented 1. 0,5 2. 4,1 3, 3,-2

Answer 1

Here your answer goes

For finding a Quadratic polynomial each with the given equation as below :-

1)  Sum = 0

Product = 5

Required Polynomial

x^2 - Sum of the Zeros x+ Product of zeros

x^2 - 0 x + 5

x^2 + 5

2) Sum = 4

Product = 1

Required Polynomial

x^2 - Sum x + Product of zeros

⇒ x^2 - 4x + 1

3) Sum = 3

Product = -2

Required Polynomial

x^2 + Sum of zeros x -Product of the Zeros

⇒ x^2 - 3 x + (-2)

⇒ x^2 + 3x - 2

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