2. EVERY NON CONSTANT SINGLE VARIABLE POLYNOMIAL WITH COMPLEX COEFFICIENT HAS AT LEAST ONE COMPLEX ROOT
3. Use the Zero product properly to find the solutions of the numbers and then factor the solutions
4. A POLYNOMIAL FUNCTION F(X) OF DEGREE n(n>0) HAS n COMPLEX SOLUTIONS FOR THE EQUATION F(X)=0
5. How all polynomials can be broken down, so it provides structure for abstraction into fields like Modern Algebra. Knowledge of algebra is essential for higher math levels like trigonometry and calculus. Algebra also has countless applications in the real world.
6. Polynomial equations are in the form P(x) = anxn + an-1xn-1 + ... + a1x + a0 = 0,
7. EQUATION WHICH CAN BE PUT IN THE FORM WITH ZERO ON THE SIDE OF THE EQUAL SIGN
8. EXAMPLE
9. POLYNOMIALS WITH REAL COEFFICIENT SINCE REAL NUMBER CAN BE CONSIDERED A COMPLEX NUMBER WITH ITS IMAGINARY PART IS EQUAL TO ZERO
10. Solutions to an equation are only counted once, although roots are counted more than once if they have multiplicity.
11. Gives you a good starting point when you are required to find the factors and solutions of a polynomial function.
12. Use this theorem to argue that, if f(x) is a polynomial of degree n>0, and a is a non-zero real number, then f(x) has exactly n linear factors
