Question
upstudy study bank question image url

(a) Given polynomials \( p, q, r \), and \( s \) such that \( q \neq 0 \) and \( s \neq 0, \frac{p}{q} \cdot \frac{r}{s} \)

Ask by Romero Barber. in the United States
Mar 17,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The product simplifies to \( \frac{pr}{qs} \).

Solution

Sign in to Unlock Answers for Free!

A Learning Platform Trusted by Millions of Real Students and Teachers.

star-icon Unlock

Answered by UpStudy AI and reviewed by a Professional Tutor

Extra Insights

Did you know that polynomial fractions like \( \frac{p}{q} \cdot \frac{r}{s} \) follow the same multiplication rules as regular fractions? When you multiply them, you simply multiply the numerators together and the denominators together. So it becomes \( \frac{p \cdot r}{q \cdot s} \)! It’s a straightforward way to combine polynomial expressions and can come in handy for simplifying equations. One common mistake is forgetting to factor polynomials before multiplying or simplifying. Always try to factor \( p, q, r, \) and \( s \) when possible. This helps in seeing if any terms can cancel out, which can greatly simplify your final result and make it easier to handle in further calculations!

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