zhengcl86
need help solving some basic algebra question to the 3rd power!!



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gianarpt
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what questions

zhengcl86
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\[8x ^{3}  4x ^{2 }  12x =0\]

zhengcl86
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how would i break that down?

precal
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factor out the GCF

precal
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I would factor out 4x

JohnnyRocketfingers
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your trying to factor the polynomial

precal
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dw:1358903207710:dw

precal
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dw:1358903232815:dw

precal
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dw:1358903299195:dw

precal
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if you look at your graph, these locations are where the graph crosses the x axis

precal
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always try to factor equations back into linear or quadratics
if that does not work then you have to use synthetic division

precal
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hope that helps you

JohnnyRocketfingers
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nice, it helped me.

zhengcl86
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wow a bit confusing lol but something is clicking in my brain

precal
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well remember you are only taught to factor 2nd powers. I factored out 4x because that created the 2nd power

zhengcl86
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so its factored out then simplfied down?

precal
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once you factor it, then we have a theorem that states we can set them to zero and solve each one

zhengcl86
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when the 4x is factored out the 8x 3rd power becomes 2x 2nd power?

zhengcl86
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was that divided by the 4x? and expondents substracted?

precal
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not I factored it outdw:1358903718312:dwcheck yourself by distributing it back in