# Lesson 3Building the Perfect SquareDevelop Understanding

Find the -intercept and the -intercept, then graph the equation.

-intercept:

-intercept:

-intercept:

-intercept:

-intercept:

-intercept:

## Set

Rewrite each expression as an equivalent trinomial.

### 8.

Write a rule for finding the coefficient, , of standard form, , when multiplying and combining like terms for an expression in the format .

In problems 9–14,

1. Fill in the number that creates a perfect square.

2. Then, write the trinomial as the square of a binomial.

### 9.

#### b.

Square of a binomial:

### 10.

#### b.

Square of a binomial:

### 11.

#### b.

Square of a binomial:

### 12.

#### b.

Square of a binomial:

### 13.

#### b.

Square of a binomial:

### 14.

#### b.

Square of a binomial:

In problems 15–23,

1. Find the value of that will make a perfect square trinomial.

2. Then, write the trinomial as the square of a binomial.

### 15.

#### b.

Square of a binomial:

### 16.

#### b.

Square of a binomial:

### 17.

#### b.

Square of a binomial:

### 18.

#### b.

Square of a binomial:

### 19.

#### b.

Square of a binomial:

### 20.

#### b.

Square of a binomial:

### 21.

#### b.

Square of a binomial:

### 22.

#### b.

Square of a binomial:

### 23.

#### b.

Square of a binomial:

## Go

Each of the equations below has just one intercept; find it and state whether it’s an - or -intercept.