Question

Form a quadratic polynomial whose zeroes are 3-√3/5 and 3+√3/5?

Answer 1

3-√3/5 and 3+√3/5 are the zeroes of the quadratic polynomial.

Let α=3-√3/5 and β=3+√3/5

Sum of zeroes =α+β
=3-√3/5+3+√3/5
=6

Product of zeroes =αβ
=(3-√3/5)(3+√3/5)
=3(3+√3/5)-√3/5(3+√3/5)
=9+3√3/5-3√3/5-3/25
=9-3/5
=45-3/5
=42/5

The quadratic polynomial which has two zeroes is in the form
x²-(α+β)x+αβ
=x²-(6)x+(42/5)
=x²-6x+42/5

Hope it helps

Answer 2

Answer:

Here is your Answer.

Step-by-step explanation:

Hope u get ur answer.