Question

What is the standard form of `y= (-x+1)^3-(2x-1)^2`?

Answer 1

`y=-x^3-x^2-7x`

Explanation:

A general polynomial is in standard form when its terms are arranged in decrease degrees.

`{: (,(-x+1)^3, =, ,-x^3,+3x^2,-3x,+1), (-,(2x-1)^2,=,-,,4x^2,-4x,+1), ("---","----------","----","----","----","----","----","----"), (,,,,-x^3,-x^2,-7x,) :}`

`(-x^3)` is of degree `3`
`(-x^2)` is of degree `2`
`(-7x)` is of degree `1`
So this arrangement is in standard form