Expand Polynomials: Tips & Tricks for Homework

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SUMMARY

The discussion focuses on expanding polynomials using the Binomial Theorem as an efficient method. Participants confirm that while direct expansion is possible, it is tedious and time-consuming. The recommended approach is to utilize the Binomial Theorem for polynomial expansion, allowing for easier comparison of coefficients. This method streamlines the process and enhances accuracy in solving polynomial problems.

PREREQUISITES
  • Understanding of polynomial expressions
  • Familiarity with the Binomial Theorem
  • Basic algebraic manipulation skills
  • Knowledge of coefficient comparison techniques
NEXT STEPS
  • Study the Binomial Theorem in detail
  • Practice polynomial expansion problems using the Binomial Theorem
  • Explore coefficient comparison methods for polynomial equations
  • Review examples of polynomial problems solved using various techniques
USEFUL FOR

Students studying algebra, particularly those tackling polynomial expansion and seeking efficient problem-solving strategies.

ibysaiyan
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Homework Statement


Hi
Basically i did these problems quite awhile back maybe 7 months ago lol its sort of dull now..

Question is:
2h3zn6q.png

Homework Equations



So do i first expand them or how? LOL i can do partials fractions and all but for some reason not these apparently easy to look problems.Thanks for your reply!

The Attempt at a Solution

 
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ibysaiyan said:

Homework Statement


Hi
Basically i did these problems quite awhile back maybe 7 months ago lol its sort of dull now..

Question is:
2h3zn6q.png

Homework Equations



So do i first expand them or how? LOL i can do partials fractions and all but for some reason not these apparently easy to look problems.Thanks for your reply!

The Attempt at a Solution

Well you can expand them both, and that's pretty simple, but long an tedious. I imagine that the better way to do these involves the Binomial Theorem.
 
Mark44 said:
Well you can expand them both, and that's pretty simple, but long an tedious. I imagine that the better way to do these involves the Binomial Theorem.
Hi
Thanks for the reply
So basically i just use binomial expansion and then compare the co-efficients..?
 

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