SOLUTION: find a polynomial function of lowest degree with rational coefficients and the following as some of its zeroes. -sqr6, 3

Algebra ->  Trigonometry-basics -> SOLUTION: find a polynomial function of lowest degree with rational coefficients and the following as some of its zeroes. -sqr6, 3      Log On


   

Question 1137100: find a polynomial function of lowest degree with rational coefficients and the following as some of its zeroes. -sqr6, 3
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

zeroes:
+-sqr%286%29, => you also have +sqr%286%29
3

f%28x%29=%28x-x%5B1%5D%29%28x-x%5B2%5D%29%28x-x%5B3%5D%29
f%28x%29=%28x-%28-sqrt%286%29%29%29%28x-sqr%286%29%29%28x-3%29
f%28x%29=%28x%2Bsqrt%286%29%29%28x-sqr%286%29%29%28x-3%29
f%28x%29=%28x%5E2-%28sqr%286%29%29%5E2%29%28x-3%29
f%28x%29=%28x%5E2-6%29%28x-3%29
f%28x%29=x%5E3+-+3+x%5E2+-+6+x+%2B+18