Is this polynomial in standard form? 10xy^4–8x^2y^2 – 6x^2y
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
What about 10xy^4 do i go to the x first or the y?
you dont look at one term..you look at the whole expression
what are the exponents of x (from left to right)?
1, 2, 2 But there is a y next to the x that is 4 and 2
when you have multiple exponents in one term do you combined them and then put them in order?
no..i think you're imagining degree
you just look at the exponent exponent of x is 1->2->2 it's not decreasing so it's not iin standard form
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)
another example \[8x^3y^2 + 3x^2 y^3 + 4xy^4\]
are you getting the idea?
Yes, so to clarify you look at the exponent of the first variable only?
what do you mean?
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?
yes!!!
good one :)
Thank you!
<tips hat>
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