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Mathematics 23 Online
OpenStudy (anonymous):

solve: x^6+7x^3-8=0

OpenStudy (anonymous):

could you solve if it was x^2+7x-8=0

OpenStudy (anonymous):

Are you capable is a better way to say that

OpenStudy (anonymous):

idk what I am doing haha

OpenStudy (anonymous):

have you learned the FOIL method

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

Ok, this is really just the reverse (x+?)(x-?) Don't let the ^6 and ^3 throw you off

OpenStudy (anonymous):

so what do I do now

OpenStudy (anonymous):

what factors of -8 add up to 7

OpenStudy (anonymous):

-1,8 -8,1 -4,2 2,-4 ?

OpenStudy (anonymous):

-1,8

OpenStudy (anonymous):

correct so now you put those into your factored equation

OpenStudy (anonymous):

done. next?

OpenStudy (anonymous):

so what do you have

OpenStudy (anonymous):

(x^3-1) (x^2+8)

OpenStudy (anonymous):

now if you multiply that out what do you get

OpenStudy (anonymous):

x^6+8x^3-1x^2-8

OpenStudy (anonymous):

correct. your error is that you are multiplying your exponents. when an exponent is multiplied by an exponent you add them. you only multiply when an exponent is raised to a power

OpenStudy (anonymous):

ohhh yea

OpenStudy (anonymous):

so lets pretend these are exponents, (3)(3) would equal 6 (3)^3 would equal 9

OpenStudy (anonymous):

|dw:1430603617356:dw| thats the only time you multiply

OpenStudy (anonymous):

got it

OpenStudy (anonymous):

so now what

OpenStudy (anonymous):

what looks out of place in what you "foil"ed

OpenStudy (acxbox22):

|dw:1430603721718:dw|

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