Lesson 3Building the Perfect SquareDevelop Understanding

Ready

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.