Posted by Lucy on Saturday, August 23, 2008 at 1:32pm.
Write the polynomial equation of least degree that has the roots: 3i, 3i, i, and i.
Answer:
(x+3i)(x3i)(xi)(x+i)=x^4+x^3x^3i+9x^2+9x9xi9i
2)Determine if the expression 4m^56m^8+m+3 is a polynomial in one variable. If so, state the degree.
Answer: It is a polynomial in one variable; Degree = 8
Thanks

Precalculuscheck answers  Reiny, Saturday, August 23, 2008 at 2:14pm
your first one would be
(x+3i)(x3i)(xi)(x+i) which is what you had, but then
=(x^2  9i^2)(x^2  i^2) remember i^2 = 1
= (x^2 + 9)(x^2 + 1)
= .... you can finish that
your second question is correct