Instructions: Write the polynomial expression in Standard Form. 3x4+8x+8x3−x3−2x4

To write the polynomial expression in standard form, we first need to combine like terms. The like terms in the expression are the terms that have the same variable and exponent.

The given expression is: 3x^4 + 8x + 8x^3 - x^3 - 2x^4

First, let's combine the x^4 terms: 3x^4 - 2x^4 = 1x^4

Next, let's combine the x^3 terms: 8x^3 - x^3 = 7x^3

The x term remains the same as there are no other x terms to combine it with.

So, the simplified expression is: 1x^4 + 7x^3 + 8x

In standard form, a polynomial is written with the terms in descending order by degree. Here, the degrees are already in descending order (4, 3, and 1), so the polynomial in standard form is:

x^4 + 7x^3 + 8x