Question

How do you write `(2x^4 + 3x – 4) + (–3x + 4 + x^4)` in standard form?

Answer 1

`3x^4`

Or if you are required to include each rank

`3x^4+0x^3+0x^2+0x+0`

Explanation:

Because there is a plus between the brackets you do not have change the signs in the second brackets.

`ul("Suppose")` it had been a minus. Then you would have
`" "(2x^4+3x-4)-(-3x+4+x^2)`
and this is like multiplying everything inside the second bracket by (-1).
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Write as:`" "2x^4+3x-4" "-3x+4+x^4`

Grouping terms

`" "2x^4+x^4" "+3x-3x" "-4+4`

`" "3x^4" " + 0" "+0`

`3x^4`