SOLUTION: Please help me turn this into an equation. Thank you! Write a polynomial f(x) of degree 3 that has the zeros {{{ 1/3 }}}, {{{ sqrt(3) }}} and {{{ -sqrt(3) }}}

Algebra ->  Functions -> SOLUTION: Please help me turn this into an equation. Thank you! Write a polynomial f(x) of degree 3 that has the zeros {{{ 1/3 }}}, {{{ sqrt(3) }}} and {{{ -sqrt(3) }}}      Log On


   

Question 1051993: Please help me turn this into an equation. Thank you!
Write a polynomial f(x) of degree 3 that has the zeros +1%2F3+, +sqrt%283%29+ and +-sqrt%283%29+
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
+system%28The+Zeros+Are%2C+1%2F3+%2C+sqrt%283%29+%2C+-sqrt%283%29%29+.

Start with the binomial factors.
f%28x%29=%28x-1%2F3%29%28x-sqrt%283%29%29%28x-%28-sqrt%283%29%29%29

Simplify and finish in general form. Multiplying three binomials is the main part of this.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Please help me turn this into an equation. Thank you!
Write a polynomial f(x) of degree 3 that has the zeros +1%2F3+, +sqrt%283%29+ and +-sqrt%283%29+
highlight_green%283x%5E3+-+x%5E2+-+9x+%2B+3+=+0%29