How do you write a polynomial function of least degree that has real coefficients, the following given zeros 2, -1+i, -1-i?
1 Answer
Aug 9, 2016
Explanation:
Each zero corresponds to a linear factor.
So we can write:
#f(x) = (x-2)(x+1-i)(x+1+i)#
#=(x-2)((x+1)-i)((x+1)+i)#
#=(x-2)((x+1)^2-i^2)#
#=(x-2)(x^2+2x+2)#
#=x^3-2x-4#
Any polynomial in
