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July 31st, 2015, 04:07 PM  #1 
Member Joined: Sep 2014 From: Toronto Posts: 43 Thanks: 0  Polynomial Questions
Hey guys! I APOLOGIZE FOR THE SIZE OF THE PHOTOS IT'S MY PHONE! So I'm having trouble solving the following equations. Any assistance would be greatly appreciated. It's an old test paper, for those of you might think I'm cheating. 
July 31st, 2015, 04:35 PM  #2 
Math Team Joined: Nov 2014 From: Australia Posts: 689 Thanks: 244 
I'm going to use the numbers that are on the test. 6: What would you do with $x^3 + 1$? 7: Remember that a polynomial can only have positive integer powers of $x$. 11: Consider the cases $x<3$, $3<x<1$, $1<x<2$ and $x>2$ seperately. 13: You know a parabola always has a turning point, but does it have to cross the $x$axis? 3: Use the factor theorem. 4: The root at 2 looks like it might be a triple root, as does the one at 3. The one at 5 looks like just a single one. Maybe this graph has an equation something like $y = \pm (x + 2)^3(x  3)^3(x  5)$. 5: I don't know exactly what this is asking. Maybe you need to find $\displaystyle \lim_{x\to\infty}2^x$? 
July 31st, 2015, 05:05 PM  #3  
Member Joined: Sep 2014 From: Toronto Posts: 43 Thanks: 0  Quote:
7. How does that help me exactly? 11. Huh? 3. Ok got that. 4. Ok got that. 5. Ok got that.  

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