Question

find the polynomial function that has the given zeros: 3, 2- the square root of 3, 2+ the square root of 3

Answer 1

well it will be

\[P(x) = (x -3)(x - (2 - \sqrt{3})(x -(2 + \sqrt{3})\]

Answer 2

what do I do after is what I don't get

Answer 3

well distribute would be my thought

Answer 4

looking at the last 2 factors you will get

\[x^2 - x(2 - \sqrt{3} )-x(2 + \sqrt{3}) + (2 - \sqrt{3}) \times (2 + \sqrt{3})) \]

when you get this quadratic multiply it by (x - 3)