Question

Write a polynomial function of least degree with real coefficients in standard form with the given zeros: -1,4, square root of 3

Answer 1

start with
\[(x+1)(x-4)(x+\sqrt{3})(x-\sqrt{3})\] and then multiply out

Answer 2

oh actually that is wrong. it says "real coefficients' not "integer coefficients"

Answer 3

so if you take it literally you can use
\[(x+1)(x-4)(x-\sqrt{3})\] it will be nice and ugly

Answer 4

that's what i thought

Answer 5

So would it be \[x ^3-3x ^{2}-4x-x ^{2}\sqrt{3}+3x \sqrt{3}+4\sqrt{3}\]
or is that completely wrong?