Question
Find an nth degree polynomial. N=4, 2i and 3i are zeros, f (-1)=50
Answers
Steve
since complex roots come in conjugate pairs,
f(x) = a(x-2i)(x+2i)(x-3i)(x+3i)
= a(x^2+4)(x^2+9)
Now use the given point to find a.
f(x) = a(x-2i)(x+2i)(x-3i)(x+3i)
= a(x^2+4)(x^2+9)
Now use the given point to find a.