Question

Simply the following polynomial, then identify what type it is.
6x^3 - 4 - 2x^3 + x + 2

Answer 1

For this case we have that by definition, the standard form of a polynomial is given by:

`P (x) = ax ^ n + bx ^(n-1) + ... + cx ^ 3 + dx ^ 2 + ex + f`

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:

`6x ^ 3-4-2x ^ 3 + x + 2`

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.

`6x ^ 3-2x ^ 3 + x-4 + 2 =\\4x ^ 3 + x-2`

The degree of the polynomial is 3.

Answer:

`4x^3+x-2`

The degree of the polynomial is 3.