For this case we have that by definition, a polynomial in its standard form is given by:
[tex]P (x) = ax ^ {n} + bx ^ {n-1} + ... + cx ^ 3 + dx ^ 2 + ex + f[/tex]
Where:
a, b, c, d, e, f: They are the coefficients
n, n-1,3,2,1: They are the exponents. The degree of the polynomial is "n" because it is the largest exponent.
x: It is the variable
The given polynomial is:
[tex]4m-2m ^ 4-6m ^ 2 + 9[/tex]
Rewriting it in its standard form:
[tex]P (x) = - 2m ^ 4-6m ^ 2 + 4m + 9[/tex]
It is a polynomial of degree 4
ANswer:
[tex]P (x) = - 2m ^ 4-6m ^ 2 + 4m + 9[/tex]
