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Answer 1 · 2017-10-14T14:59:13

If any term is missing, you can write that term with $color(red)0$ as coefficient.

If the terms are in different order, rearrange them in the standard order.

If there is no coefficient for a term, treat the coefficient as $color(red)1$

eg.
1) $3x^2+4x+2$ is in standard form.**

2) $3x^2+2$ is in standard form with x term missing, which means it’s coefficient is $color(red)0$ ( $color(blue)(i.e. 0x)$ )

3) $4x+3x^2+2$ is in different order. You can rearranges the same in the standard format as $3x^2+4x+2$

Hope this gives a clear picture.

Answer 2 · 2017-10-14T14:59:16

see below

If a term is missing, that means the coefficient of that term is 0.

For example:

$2x^2+5=0$
Here there is no term with degree 1. That means coefficient of $x$ is $0$ That is, $2x^2+color(red)(0x)+5=0$ .
$x=2$
$=x-2=0$ Here, there is no term with degree 1. Which means the coffecient of $x^2$ is 0. That is $color(red)(0x^2)+x-5=0$ .

For the order of terms, you'll have to write them in decending degrees.

For example:

Degree:

${(5=5x^0->0), (x^2->2),(7x=7x^1->1):}$
Therefore, it'll be written as $x^2+7x+5=0$

Degree:

${(2x=2x^1->1), (7x^2->2):}$
Therefore, it'll be written as $7x^2+2x+0=0$