Question

Simplify by finding the sum or difference of the polynomials below. Then Identify the degree of your answer. When typing your answer use the carrot key ^ (press shift and 6) to indicate an exponent. Type your terms in descending order and do not put any spaces between your characters. (11b^4-6b^3+18b^2-4b+8)-(3b^3+6b^2+3b)This simplifies to: AnswerThe degree of our simplified answer is: Answer

Answer 1

We simplify expression by combining like terms.

"Like terms" are terms whose variables (and their exponents such as the 2 in x^2) are the same.

In other words, terms that are "like" each other.

Let's simplify the expression shown >>>

`\begin{gathered} (11b^4-6b^3+18b^2-4b+8)-(3b^3+6b^2+3b) \\ =11b^4-6b^3+18b^2-4b+8-3b^3-6b^2-3b \\ =11b^4-9b^3+12b^2-7b+8 \end{gathered}`

The degree of the simplified expression is 4.

That is the highest power of all the terms.

Answer

• This simplifies to:

`11b^4-9b^3+12b^2-7b+8`

• The degree of our simplified answer is:

`4`