if r is a root (zero) , then x-r is a factor
complex roots (containing i) occur in conjugate pairs
... if 2+2i is a root , then 2-2i is also
P(x) = (x - 2 - 2i) (x - 2 + 2i) (x + 1) (x - 2)
multiply the factors to find the 4th order function
Find a polynomial function P of the lowest possible degree, having real coefficients, a leading coefficient of 1, and with the given zeros.
2plus2i, minus1, and 2
1 answer
1 answer