Question
upstudy study bank question image url

Factor.

Ask by Bryant Owen. in the United States
Mar 22,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

Solution

  1. Recognize the quadratic polynomial:
  2. Identify the pattern. Notice that the constant term is a perfect square since and the coefficient of is twice (with a negative sign), which suggests the form:
  3. Factor the given quadratic using the pattern:
Thus, the factored form is:

Answered by UpStudy AI and reviewed by a Professional Tutor

error msg
Explain
Simplify this solution

Mind Expander

This quadratic expression is a perfect square trinomial! You can factor it as or simply . This means that the value is a double root, making it a nice example of how neat some quadratics can be when they turn out to be perfect squares.
To double-check your work, just expand back to the original equation. You’ll find that it simplifies back to . This is a great way to check your factoring skills!

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy