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Mathematics 17 Online
OpenStudy (anonymous):

What is the x-intercept of y= x^3 +3x^2 +1

OpenStudy (anonymous):

I tried to do it using synthetic division..but i cant points that make the function 0

OpenStudy (amistre64):

you can try to get rid of that x^2 term ... and see if that helps

OpenStudy (amistre64):

sub in (r-1) for x; or (r+1)

OpenStudy (anonymous):

what is r-1...? what does r mean?

OpenStudy (anonymous):

how can i factor out x^2 if 1 is there

OpenStudy (amistre64):

r is just a variable to use instead of x say x = r-1; then if the equation becomes easier to solve for r we can then find x

OpenStudy (amistre64):

\[x=r+1\]gives me \[r^3+6r^2+9r+5\]

OpenStudy (anonymous):

umm i will try ... need to eat dinner now..i will ask again if i dont get it...thanks!

OpenStudy (amistre64):

its not a "normal" method, but at times it could be useful. otherwise, use synthD and make sure all your positions are filled

OpenStudy (amistre64):

http://www.wolframalpha.com/input/?i=x%5E3%2B3x%5E2%2B1 but quite frankly, its not a pretty site no matter what route you take

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