How to add exponential variables - ISEE Upper Level Quantitative Reasoning

The degree of a term of a polynomial with one variable is the exponent of that variable. The terms of a polynomial in standard form are written in descending order of degree. Therefore, we rearrange the terms by their exponent, from 5 down to 0, noting that we can rewrite the and constant terms with exponents 1 and 0, respectively:

Substitute for in the definition:

Start by reordering the expression to group like-terms together.

Combine like-terms to simplify.

We can expand the first term using FOIL:

Reorder the expression to group like-terms together.

Simplify by combining like-terms.

Expand each term by using FOIL:

Rearrange to group like-terms together.

Simplify by combining like-terms.

The degree of a term of a polynomial with one variable is the exponent of that variable. The terms of a polynomial in standard form are written in descending order of degree. Therefore, we rearrange the terms by their exponent, from 5 down to 0, noting that we can rewrite the and constant terms with exponents 1 and 0, respectively:

Substitute for in the definition:

Start by reordering the expression to group like-terms together.

Combine like-terms to simplify.

We can expand the first term using FOIL:

Reorder the expression to group like-terms together.

Simplify by combining like-terms.

Expand each term by using FOIL:

Rearrange to group like-terms together.

Simplify by combining like-terms.