For this case we have that by definition, the standard form of a polynomial is given by:
[tex]P (x) = ax ^ n + bx ^{n-1} + ... + cx ^ 3 + dx ^ 2 + ex + f[/tex]
Where:
x: It is the variable
a, b, c, d, e, f: Are the coefficients of the polynomial
n, n-1,3,2,1: Are the exponents. n is the degree of the polynomial because it is the greatest exponent.
In this case we have the following polynomial:
[tex]6x ^ 3-4-2x ^ 3 + x + 2[/tex]
We add similar terms taking into account that:
Equal signs are added and the same sign is placed.
Different signs are subtracted and the major sign is placed.
[tex]6x ^ 3-2x ^ 3 + x-4 + 2 =\\4x ^ 3 + x-2[/tex]
The degree of the polynomial is 3.
Answer:
[tex]4x^3+x-2[/tex]
The degree of the polynomial is 3.
