# 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?

Aug 24, 2016

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 $f \left(x\right)$ but $f \left(y\right)$

Grouping terms we have:

$\left({y}^{2} - 3 {y}^{2}\right) + \left(2 y - 5 y\right) + 5$

$- 2 {y}^{2} - 3 y + 5$

Number of terms is 3
Degree is 2 ( from ${y}^{2}$)
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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 $- 2 {y}^{2}$ the general shape is $\supset$