Parabolas do not have "solutions". Parabolas are graphs of quadratic functions, the -coordinates of the -intercepts of which are the zeros of the function. If you set the function equal to zero creating a quadratic equation, then the zeros of the function become the solutions of the equation.
If is a zero of a polynomial function in , then is a factor of the polynomial.
So for your question a), the factors of your desired function are and . Hence:
You can do the FOIL and simplify process yourself.
Note for part b) is the same thing as saying is a zero of the function
Note for part c) Complex zeros of polynomial functions with real number coefficients ALWAYS come in conjugate pairs. That is to say, if is a zero of a given polynomial, then is also a zero of that polynomial.
John
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
