Chapter 9: Q81. (page 535)

Determine whether each trinomial is a perfect square trinomial. Write yes or no. If so, factor it.
$9 x^{2} + 8 x + 16$

Short Answer

Expert verified

No, the given trinomial is not a perfect square trinomial.

Step by step solution

Step1. Check.

Check whether the first term of the given trinomial belongs to the perfect square trinomial or not.

Here, the first term is $9 x^{2} = {(3 x)}^{2}$ .

Step 2. Check.

Check whether the middle term of a given trinomial belongs to the perfect square trinomial or not.

Middle term is $8 x = 2 (3 x) (4)$ , which is not in the form of width="29" height="20" role="math">2ab.

Step 3. Check.

Check whether the last term of the given trinomial belongs to the perfect square trinomial or not.

The last term is $25 = 5^{2}$ .

As the middle term of the given trinomial is not in the form of $2 a b$ , therefore, the given trinomial is not the perfect square trinomial.

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Determine whether each trinomial is a perfect square trinomial. Write yes or no. If so, factor it.
$9 x^{2} + 8 x + 16$

Short Answer

Step by step solution

Step1. Check.

Step 2. Check.

Step 3. Check.

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Determine whether each trinomial is a perfect square trinomial. Write yes or no. If so, factor it.9x2+8x+16

Short Answer

Step by step solution

Step1. Check.

Step 2. Check.

Step 3. Check.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Theoretical and Mathematical Physics

Geometry

Decision Maths

Calculus

Logic and Functions

Study anywhere. Anytime. Across all devices.

Determine whether each trinomial is a perfect square trinomial. Write yes or no. If so, factor it.
$9 x^{2} + 8 x + 16$