Chapter 9: Q10. (page 523)

Determine whether each trinomial is a perfect square trinomial. Write yes or no. If so, factor it.
$x^{2} - 12 x + 32$

Short Answer

Expert verified

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

Step by step solution

Step1. Given

$x^{2} - 12 x + 32$

Step2. Observe the given trinomial x2−12x+32.

The given trinomial is: $x^{2} - 12 x + 32$

The first, middle, and last terms of the given trinomial are $x^{2}, - 12 x$ and 32 respectively.

The first term of the given trinomial can be written as:

$x^{2} = {(x)}^{2}$

Therefore, the first term of the given trinomial is a perfect square.

The last term of the given trinomial is not a perfect square.

Step3. Determine whether the given trinomial x2+5x+25 is a perfect square trinomial.

As the first term of the given trinomial is a perfect square but the last term of the given trinomial is not a perfect square.

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

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Determine whether each trinomial is a perfect square trinomial. Write yes or no. If so, factor it.
$x^{2} - 12 x + 32$

Short Answer

Step by step solution

Step1. Given

Step2. Observe the given trinomial x2−12x+32.

Step3. Determine whether the given trinomial x2+5x+25 is a perfect square trinomial.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Theoretical and Mathematical Physics

Probability and Statistics

Decision Maths

Applied Mathematics

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.x2−12x+32

Short Answer

Step by step solution

Step1. Given

Step2. Observe the given trinomial x2−12x+32.

Step3. Determine whether the given trinomial x2+5x+25 is a perfect square trinomial.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Theoretical and Mathematical Physics

Probability and Statistics

Decision Maths

Applied Mathematics

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.
$x^{2} - 12 x + 32$