Warning: foreach() argument must be of type array|object, bool given in /var/www/html/web/app/themes/studypress-core-theme/template-parts/header/mobile-offcanvas.php on line 20

Determine whether each trinomial is a perfect square trinomial. Write yes or no. If so, factor it.

4x220x+25

Short Answer

Expert verified

Yes, the factor of a given trinomial is 2x52x5.

Step by step solution

01

Step 1. Check.

Check whether the given trinomial is a perfect square or not.

Here, the first term is 4x2=2x2.

Middle term is 20x=22x5, which is in the form of 2ab.

The last term is 25=52.

So, the given trinomial is a perfect square.

02

Step 2. Factor the trinomial.

Factor the perfect square trinomial.

4x210x10x+25=2xx552x5

03

Step 3. Simplify.

Simplify the above-obtained expression.

2x52x5

Therefore, the factor 4x220x+25is 2x52x5.

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.

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

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Study anywhere. Anytime. Across all devices.

Sign-up for free