Question

Question #bff66

Answer 1

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

see below

Explanation:

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:

• `5+x^2+7x=0`

Degree:

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

• `2x+7x^2=0`

Degree:

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