Question

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

Answer 1

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

Answer 2

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

Answer 3

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

Answer 4

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

Answer 5

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

Answer 6

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

Answer 7

no..i think you're imagining degree

Answer 8

you just look at the exponent

exponent of x is 1->2->2 it's not decreasing so it's not iin standard form

Answer 9

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)

Answer 10

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

Answer 11

are you getting the idea?

Answer 12

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

Answer 13

what do you mean?

Answer 14

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?

Answer 15

yes!!!

Answer 16

good one :)

Answer 17

Thank you!

Answer 18

<tips hat>