Question

How do you write a polynomial in standard form, then classify it by degree and number of terms `y^2+2y+5-3y^2-5y`?

Answer 1

Number of terms is 3
Degree is 2 ( from `y^2`)

Explanation:

Instead of being a function in `x` this is a function in `y`

That is: not `f(x)` but `f(y)`

Grouping terms we have:

`(y^2-3y^2)+(2y-5y)+5`

`-2y^2-3y+5`

Number of terms is 3
Degree is 2 ( from `y^2`)
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
In fact this is a quadratic in `y` and behaves in the same way as a quadratic in `x` but it is rotated by `90^0`

As we have `-2y^2` the general shape is `sup`