Mathematics
8 Online
OpenStudy (anonymous):
Help! Will medal!
What type of polynomial is X(X-X)(X-X)?
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OpenStudy (anonymous):
Here are the exact numbers
X(X-4)(X-5)
OpenStudy (welshfella):
what do you think the highest exponent of x is?
OpenStudy (anonymous):
1
OpenStudy (anonymous):
Because when none are shown it is 1
OpenStudy (welshfella):
X * X * X = ?
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OpenStudy (anonymous):
3?
OpenStudy (anonymous):
Oh so thias is a trinomial?
OpenStudy (anonymous):
this* @welshfella
OpenStudy (welshfella):
well in UK we would call it a cubic polynomial but it has 3 terms in it so it might be a trinomial in the US
OpenStudy (anonymous):
Yes! So what degree would it be?
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OpenStudy (welshfella):
it expands to x^3 - 9x^2 + 20x
OpenStudy (welshfella):
the degree is 3
OpenStudy (welshfella):
because of the x^3
OpenStudy (anonymous):
because 3 is the biggest exponent right?
OpenStudy (welshfella):
yes
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OpenStudy (anonymous):
Awesome I thank you, I may need help in a little bit and will tag you if that is alright.
OpenStudy (welshfella):
i'll be here for about another half hour
OpenStudy (anonymous):
Ok
OpenStudy (anonymous):
@welshfella do you have time for another question?
OpenStudy (anonymous):
@gorv
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OpenStudy (anonymous):
Factor 3x2y2 - 2xy2 - 8y2. Show your work
OpenStudy (anonymous):
3x^2y^2-2xy^2-8y^2
OpenStudy (anonymous):
Please im running out of time
OpenStudy (welshfella):
you need to find the gcf of the 3 terms
thats the greatest term which will divide exactrly into each of the 3 terms
OpenStudy (anonymous):
I think -2
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OpenStudy (welshfella):
the numbers 2 3 and 8 have no gcf
the only thing common to all 3 is y^2 so that is your gcf
OpenStudy (anonymous):
Y^2(3x^2-2x-8)
OpenStudy (anonymous):
right?
OpenStudy (welshfella):
so take y^2 out
and it becomes
y^2( 3x^2
yes u r right
OpenStudy (anonymous):
Can you factor it for me from there? And show the steps
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OpenStudy (welshfella):
hold on 3x^2 - 2x - 8 may also factor
OpenStudy (anonymous):
I think (3x+4)(x-2)
OpenStudy (welshfella):
3x^2 - 2x - 8
3 * -8 = -24 so try -6 and + 4
=3x^2 -6x + 4x - 8
= 3x(x - 2)+ 4(x - 2)
= (3x+ 4)( x - 2)
OpenStudy (welshfella):
so finall we get
y^2(3x + 4)(x - 2)
OpenStudy (welshfella):
gotta go right now
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OpenStudy (anonymous):
Ok thank you so much for your help and time
OpenStudy (welshfella):
yw