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Determine whether is a perfect square trinomial. If so, factor it.

Answer: is a perfect square trinomial.

3. Is the middle term equal to ? Yes,

1. Is the first term a perfect square? Yes,

2. Is the last term a perfect square? Yes,

Write as

Factor using the pattern.

Determine whether is a perfect square trinomial. If so, factor it.1. Is the first term a perfect square? Yes,

2. Is the last term a perfect square? Yes,3. Is the middle term equal to ? No,

Answer: is not a perfect square trinomial.

Determine whether each trinomial is a perfect square trinomial. If so, factor it.

a.

b.

Answer: not a perfect square trinomial

Answer: yes;

Factor .First check for a GCF. Then, since the polynomial has two terms, check for the difference of squares.

6 is the GCF.

and

Factor the difference of squares.

Answer:

Factor .

This polynomial has three terms that have a GCF of 1. While the first term is a perfect square,the last term is not. Therefore, this is not a perfect square trinomial.

This trinomial is in the form Are there two numbers m and n whose product is and whose sum is 8? Yes, the product of 20 and –12 is –240 and their sum is 8.

Write the pattern.

and

Group terms with common factors.

Factor out the GCF from each grouping.

is thecommon factor.

Answer:

Factor each polynomial.

a.

b.

Answer:

Answer:

Solve

Recognizeas a perfect square trinomial.

Original equation

Factor the perfect square trinomial.Set the repeated factor equal to zero.

Solve for x.

Answer: Thus, the solution set is Check this

solution in the original equation.

Solve

Answer:

Solve .Original equation

Square Root Property

Add 7 to each side.

Simplify.

Separate into two equations.or

Answer: The solution set is Check each solution in the original equation.

Solve .

Original equation

Recognize perfect square trinomial.

Factor perfect square trinomial.

Square Root Property

Subtract 6 from each side.

Answer: The solution set is Check this solution in the original equation.

or Separate into two equations.

Simplify.

Solve .

Original equation

Square Root Property

Subtract 9 from each side.

Answer: Since 8 is not a perfect square, the solution set is

Using a calculator, the approximate

solutions are or about –6.17 and

or about –11.83.

Check You can check your answer using a graphing calculator. Graph and Using the INTERSECT feature of your graphing calculator, find where The check of –6.17 as one of the approximate solutions is shown.

Solve each equation. Check your solutions.

a.

b

c.

Answer:

Answer:

Answer: