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Use the Factor Theorem to determine a polynomial equation, of lowest degree, that has only the indicated roots:
0 is a root of multiplicity 5, 2 is a double root
 one year ago
 one year ago
Use the Factor Theorem to determine a polynomial equation, of lowest degree, that has only the indicated roots: 0 is a root of multiplicity 5, 2 is a double root
 one year ago
 one year ago

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satellite73Best ResponseYou've already chosen the best response.1
ok i cant read. start with \[x^5(x2)^2\] and multiply out
 one year ago

mmbuckaroosBest ResponseYou've already chosen the best response.0
so I would get \[x ^{5}+x ^{2}4x+4\]
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
no i don't think so
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
\[x^5(x2)^2=x^5(x2)(x2)=...\]
 one year ago

mmbuckaroosBest ResponseYou've already chosen the best response.0
where does the extra (x2)^2 come from then that you have after the x^5?
 one year ago

mmbuckaroosBest ResponseYou've already chosen the best response.0
oh nvm.... so what am I multiplying out then? the (x2)^2 or?
 one year ago

MertsjBest ResponseYou've already chosen the best response.1
\[x^5(x)(x2)=x^5(x^24x+4)=x^74x^6+4x^5\]
 one year ago

mmbuckaroosBest ResponseYou've already chosen the best response.0
Oh ok so I just needed to continue multiplying to completly get rid of the parenthisis cool thank you... so what if it is the same question but it says 1/3 is a double root and 2 is a double root? do I set it up like this: f(x)=(x1/3)^2(x+2)^2
 one year ago

mmbuckaroosBest ResponseYou've already chosen the best response.0
awesome thanks so much for the help!
 one year ago

mmbuckaroosBest ResponseYou've already chosen the best response.0
Uh so I actually have one more silly question how do I get rid of the fraction to make that problem easier?
 one year ago

mmbuckaroosBest ResponseYou've already chosen the best response.0
NVM I figured it out:) thanks
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
oh looks like you got it right? start with \((3x1)^2\)
 one year ago
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