Question

Find the quadratic polynomial whose zeros are {5 + 2 √3} and (5 - 2√3)

Answer 1

Heya!

Zeroes of the polynomial are (5+2√3) and (5-2√3)

Factors of the polynomial are

x-(5+2√3) = (x-5-2√3)

And x-(5-2√3) = (x-5+2√3)

The polynomial is

(x-5-2√3)(x-5+2√3)

= (x-5)²-(2√3)²

= x²-10x+25-12

= x²-10x+13

Hope it helps^_^