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Mathematics 10 Online
OpenStudy (anonymous):

Which polynomial is written in descending order?

OpenStudy (anonymous):

\[9-3x+4x ^{2}\] \[-3x+9+4x ^{2}\] \[4x ^{2}+9-3x\] \[4x ^{2}-3x+9\]

OpenStudy (phi):

you want the biggest powers (the little number on the upper right of the x) first, left to right.

OpenStudy (anonymous):

What? I don't get it..

OpenStudy (phi):

you want the x^2 term first, the x term second and the constant last. Which of the 4 answers is in that order?

OpenStudy (phi):

big to small

OpenStudy (anonymous):

\[\Large x^9 + 2x^8 + 15x^7 -2x^6 +x^4 -30x^3 -10x^2\] There's an example of a polynomial in descending order.

OpenStudy (anonymous):

\[\Large x +30x^2\] There's an example of a polynomial that's NOT in descending order.

OpenStudy (phi):

notice that you use the exponent to decide who goes first. the other numbers (coefficients) don't matter.

OpenStudy (anonymous):

So, the answer is \[9-3x+4x ^{2}\]

OpenStudy (phi):

the other way round.

OpenStudy (anonymous):

Oh.. \[4x ^{2}-3x+9\] ?

OpenStudy (phi):

Yes. That is standard form. Did you know that \( x^0 =1 \)? so we could write this as \[ 4x^2-3x^1+9x^0 \] do you see the pattern 2 1 0 (the exponents go down)

OpenStudy (anonymous):

I'm lost..

OpenStudy (phi):

what is your question?

OpenStudy (phi):

when you have a problem like this |dw:1341185099195:dw|

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