SOLUTION: Writing functions from roots: Degree of 4 and roots are 2i, 3, and 6 and Degree of 5 and roots are 0, 1, 2, plus or minus √31 Thanks in advance I really apprec

Algebra ->  Functions -> SOLUTION: Writing functions from roots: Degree of 4 and roots are 2i, 3, and 6 and Degree of 5 and roots are 0, 1, 2, plus or minus √31 Thanks in advance I really apprec      Log On


   

Question 573197: Writing functions from roots:
Degree of 4 and roots are 2i, 3, and 6
and
Degree of 5 and roots are 0, 1, 2, plus or minus √31

Thanks in advance I really appreciate it ;)
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
1st nugget ___ if r is a root of a function, then x-r is a factor
2nd nugget ___ complex roots (containing i) occur in conjugate pairs (a+bi and a-bi)

f(x) = (x - 2i)(x + 2i)(x - 3)(x - 6)

g(x) = (x)(x - 1)(x - 2)(x - √31)(x + √31)

you can multiply the factors together to get the expanded form of the function