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Consider the two expressions $\frac{6x^3+19x^2-4x+5}{2x+1}$ and $5x^2-8+\frac1{2x+1}.$  

 

a) Show that the two expressions represent equal numbers when $x=10.$  

 

b) Explain why these two expressions do not represent equal numbers when $x=\dfrac12.$  

 

c) Show that these two expressions represent equal numbers for all $x$ other than $\dfrac12.$

 
 Jun 13, 2024

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