How could I write a polynomial function in standard form with the known zeros of 3 and −1 plus the square root of 2 ​

Question

How could I write a polynomial function in standard form with the known zeros of 3 and −1 plus the square root of 2 ​

Answer 1

See the video for the process and calculations. I suspected that you either missed, or forgot to type, a third zero for your polynomial. You included, 3 and -1+squareroot(2), but square roots usually come in pairs and so I suspect that a third zero -1-squareroot(2) was present and needed to be included. My solution produced a cubic polynomial with the three roots.

Good luck to you

David