Question

8. Find a quadratic polynomial whose zeroes are
2+√5
2 - 15
and
2
2​

Answer 1

Answer:

Given, α=5+

2

,β=5−

2

∴f(x)=k{x

2

−x(α+β)+αβ}

Here, α+β=5+

2

+5−

2

=10

and αβ=(5+

2

)(5−

2

)=25−2=23

∴f(x)=k{x

2

−10x+23}, where k is any non-zero real number.

Step-by-step explanation:

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