Higher algebra by hall & knight

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SUMMARY

The discussion centers around the challenges faced by students studying "Higher Algebra" by Hall & Knight, particularly in solving routine problems. Users express frustration with specific questions, such as those involving the method of componendo dividendo and complex rational expressions. A request for examples and clarification on difficult problems, such as question 24 on page 12, highlights the need for additional support and resources. The link to a Physics Forums thread is provided for further assistance in simplifying complex fractions.

PREREQUISITES
  • Understanding of algebraic expressions and equations
  • Familiarity with the method of componendo dividendo
  • Knowledge of rational functions and their simplification
  • Basic skills in cross-multiplication and simplification techniques
NEXT STEPS
  • Study the method of componendo dividendo in detail
  • Practice solving complex rational expressions
  • Review examples from "Higher Algebra" by Hall & Knight, focusing on challenging problems
  • Explore online resources, such as the Physics Forums, for additional problem-solving strategies
USEFUL FOR

Students of algebra, mathematics educators, and anyone seeking to improve their problem-solving skills in higher algebra concepts.

smart_worker
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currently i am reading that book.But it seems as though i can't even solve one question from it despite of me reading and understanding each and every line of the chapter.what to do?
 
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I find that hard to believe. Many of the questions are routine. Can you post examples?
Try to solve by componendo dividendo proportion 19 examples 2 #13

$$\frac{2x^3-3x^2+x+1}{2x^3-3x^2-x-1}=\frac{3x^3-x^2+5x-13}{3x^3-x^2-5x+13}$$
 
lurflurf said:
I find that hard to believe. Many of the questions are routine. Can you post examples?
Try to solve by componendo dividendo proportion 19 examples 2 #13

$$\frac{2x^3-3x^2+x+1}{2x^3-3x^2-x-1}=\frac{3x^3-x^2+5x-13}{3x^3-x^2-5x+13}$$


this kind of questions are easy.
how about pg.no:12 24th question-it is very difficult.


and also https://www.physicsforums.com/showthread.php?t=746992
 
for 24 clear denominators and cross multiply and simplify.
 

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