# Lesson 5Is This the End?Solidify Understanding

Multiply.

### 4.

In problems 1–3, the answers are called perfect square trinomials. What are the features of a perfect square trinomial?

### 8.

The products in problems 5–7 end up being binomials, and they are called the difference of two squares.

#### a.

What are the features of the difference of two squares?

#### b.

Why don’t they have a middle term like the answers to problems 1–3?

### 12.

#### a.

The work in problems 9–11 makes them feel like the answers are going to have a lot of terms. What happens in the work of the problems that makes the answers be binomials?

#### b.

These answers are called the difference of two cubes (problem #9) and the sum of two cubes (problems 10 and 11). What about these answers makes them be the sum or difference of two cubes?

## Set

State the -intercept, the degree, and the end behavior for each of the given polynomials.

-intercept:

Degree:

-intercept:

Degree:

-intercept:

Degree:

-intercept:

Degree:

-intercept:

Degree:

-intercept:

Degree:

### 19.

Identify each function as even, odd, or neither.

even

odd

neither

even

odd

neither

even

odd

neither

even

odd

neither

even

odd

neither

even

odd

neither

## Go

Fill in the conjugate of the given expression, then multiply the two conjugates.

Solve for .