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Mathematics 21 Online
benjamin24:

3x^2y + 4x y + 1 - 5x^4y -6y descending order

dude:

You want to have the exponent to go from highest to lowest ex. \(x^3+x^2+x^1\)

benjamin24:

alright so wouldnt 4xy come first?

dude:

This is the equation right? \(3x^2y + 4x y + 1 - 5x^4y -6y\)

benjamin24:

yes

dude:

Not quite, you want to look at the exponent (that tiny number above)

benjamin24:

ok so 5x^4, because that one has the highest exponent

dude:

Right

dude:

\(−5x^4y\)* its 1 term

benjamin24:

so that would come first even though it has a - in front of it?

dude:

The - or positive does not matter, the only thing that matters is the exponent

benjamin24:

ohhhh ok that makes more sense now

dude:

Yeh

benjamin24:

-5x^y + 3x^2y?

dude:

Yep

benjamin24:

then would + 4xy come next or -6y

benjamin24:

neither of them have an exponent so how would u decide which one is next

dude:

4xy because it continus the pattern with the terms having xy \(- 5 {\color{red}{x}}^4\color{red}{y}+3\color{red}{x}^2\color{red}{y}\) + \(4\color{red}{xy}\)

benjamin24:

ohh ok then it would be +1 because that is a increasing expression?

dude:

The value without a variable goes last

benjamin24:

ok so -6y is next because it has a "invisible number' or

benjamin24:

well variable

dude:

Yeah it doesnt have an x variable \(- 5x^4y+3x^2y+4xy -6y+1 \)

benjamin24:

ok thank you so much really helped

dude:

Of course

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