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Mathematics 18 Online
OpenStudy (anonymous):

Is this polynomial in standard form? 10xy^4–8x^2y^2 – 6x^2y

OpenStudy (lgbasallote):

is the exponent of x decreasing? is the exponent of y increasing? if the answer to both is yes..then it's ins tandard form

OpenStudy (anonymous):

What about 10xy^4 do i go to the x first or the y?

OpenStudy (lgbasallote):

you dont look at one term..you look at the whole expression

OpenStudy (lgbasallote):

what are the exponents of x (from left to right)?

OpenStudy (anonymous):

1, 2, 2 But there is a y next to the x that is 4 and 2

OpenStudy (anonymous):

when you have multiple exponents in one term do you combined them and then put them in order?

OpenStudy (lgbasallote):

no..i think you're imagining degree

OpenStudy (lgbasallote):

you just look at the exponent exponent of x is 1->2->2 it's not decreasing so it's not iin standard form

OpenStudy (lgbasallote):

here's an example of something in standard form \[2x^2y + 3xy^2 + 1\] exponent of x is 2 -> 1 (decreasing) exponent of y is 1-> 2 (increasing)

OpenStudy (lgbasallote):

another example \[8x^3y^2 + 3x^2 y^3 + 4xy^4\]

OpenStudy (lgbasallote):

are you getting the idea?

OpenStudy (anonymous):

Yes, so to clarify you look at the exponent of the first variable only?

OpenStudy (lgbasallote):

what do you mean?

OpenStudy (anonymous):

I mean that when you have an x and a y both with an exponent - I would place them in order so they drop down according to the exponent associated with the x first. So if I have 8x^3y^2 + 10x^4y - placing it in standard form would be 10x^4y + 8x^3y^2 Right?

OpenStudy (lgbasallote):

yes!!!

OpenStudy (lgbasallote):

good one :)

OpenStudy (anonymous):

Thank you!

OpenStudy (lgbasallote):

<tips hat>

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