FIND QUADRATIC POLYNOMIAL WITH GIVEN SUM AND PRODUCT OF ZEROES

Find quadratic polynomial for each of the following pairs of values where the first value stands for sum of zeroes and the second value stands for product of zeroes.

1) 3, 1

2) -2, 4

3) 0, 4

4) √2, 1/5

5) -1/3, 1

6) 1/2, -4

7) 1/3, -1/3

8) -√3, 2 

1. Answer :

3, 1

sum of zeroes = 3, product of zeroes = 1

Quadratic polynomial :

x² - 3x + 1

2. Answer :

-2, 4

sum of zeroes = -2, product of zeroes = 4

Quadratic polynomial :

x² + 2x + 4

3. Answer :

0, 4

sum of zeroes = 0, product of zeroes = 4

Quadratic polynomial :

x² + 4

4. Answer :

 √2, 1/5

sum of zeroes =  √2, product of zeroes = 1/5

Quadratic polynomial :

x² - √2x + (1/5)

5. Answer :

-1/3, 1

sum of zeroes = -1/3, product of zeroes = 1

Quadratic polynomial :

x² + x/3 + 1

6. Answer :

1/2, -4

sum of zeroes = 1/2, product of zeroes = -4

Quadratic polynomial :

x² - x/2 - 4

7. Answer :

1/3, -1/3

sum of zeroes = 1/3, product of zeroes = -1/3

Quadratic polynomial :

x² - x/3 - 1/3

8 Answer :

-√3, 2

sum of zeroes = -√3, product of zeroes = 2

Quadratic polynomial :

x² + √3x + 2

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