Respuesta :
Answer: The degree of a polynomial is related to the number of roots obtained from the polynomial. In this case, the roots can be classified as imaginary or real. To determine the type of roots obtained, we can calculate the determinant of the equation.
Good Luck!
Maybe you are expected to think like a calculus/pre-calculus student:
The end behavior of a polynomial function of even degree
can be represented by this or .
The graph of function like that may may never cross the x-axis,
so the function could have no real zeros.
If it does have zeros, they will come in pairs,
because "what goes up must come down" and vice versa.
Of course the function cannot have more zeros than its degree.
For example, a polynomial function of degree 6 could have 0, 2, 4, or 6 real zeros.
The end behavior of a polynomial function of even degree
can be represented by this or .
The graph of function like that must cross the x-axis at least once,
so the function must have at least one real zero.
There and be up to as many real zeros as the degree of the polynomial function , and there will be an odd number of real zeros,
because an even number would mean an end-behavior like the one described by even degree polynomial functions.
Maybe you are expected to think in terms of polynomial factoring:
A polynomial of degree n must have n complex number zeros,
and could be written as
P%28x%29=a%28x-z%5B1%5D%29%2A%28x-z%5B2%5D%29%2A%22...%22%2A%28x-z%5Bn%5D%29 , where a is the leading coefficient.
Some of those complex number zeros may not be real numbers,
but those will come as p pairs of conjugate complex number zeros,
and in that case, a polynomial function with real coefficients can be written
