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Mathematics 18 Online
OpenStudy (anonymous):

is 2x^3 the gcf of 30x^3+6x^5

jimthompson5910 (jim_thompson5910):

the x^3 is correct, but not the 2

OpenStudy (anonymous):

why not?

jimthompson5910 (jim_thompson5910):

because a larger number goes into both 6 and 30

jimthompson5910 (jim_thompson5910):

2 is a factor of both, but not the GCF

OpenStudy (anonymous):

oh the options I have are 16x, 2x^3, 2x^5, x^3

jimthompson5910 (jim_thompson5910):

well that's just stupid...the GCF is really 6x^3 since 6 is the GCF of 6 and 30

jimthompson5910 (jim_thompson5910):

2x^3 is a factor, but not the GCF

OpenStudy (anonymous):

oh wait I typed the ques in wrong, its 16 not 6.im so sorry

OpenStudy (anonymous):

\[30x^{3} + 16x^{5} = 2(15x^{3} + 8x^{5}) = 2x^{3}(15 + 4x^{2})\]

OpenStudy (anonymous):

So the GCF is 2x^3

OpenStudy (anonymous):

Oops, 4x^2 should be 8x^2

jimthompson5910 (jim_thompson5910):

so if the expression is really 16x^3+6x^5 then yes, the GCF is 2x^3 16x^3+6x^5 = 2x^3 ( 8 + 3x^2 )

OpenStudy (anonymous):

ok thanks a lot :)

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