Question

Find the quadratic polynomial whose zeros are 2+√2/5 and 2-√2/5

Answer 1

Answer:

Step-by-step explanation:

Firstly sum of zeroes = 2+√2/5 + 2-√2/5

=4

Product of zeros = (2+√2/5) (2-√2/5)

= (2)^2 - (√2/5)^2

= 4 - 2/5

= 18/5

For quadratic polynomial

x^2 - Sx + P

Where S is sum of zeroes and P is product of zeroes

So polynomial is

x^2 - 4x + 18/5

Take 5 as lcm

5x^2 - 20x + 18

is the required polynomial

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