# To build a complex polynomial

For example I have this polynomiyal:

```
p=(z-2*I)*(z+1*I)
```

I want sage show me someting like:

```
z^2-z*(1*I)-2
```

It doesn't mind the number of roots.

To build a complex polynomial

**
asked 2016-01-17 20:22:11 +0200 **

This post is a wiki. Anyone with karma >750 is welcome to improve it.

For example I have this polynomiyal:

```
p=(z-2*I)*(z+1*I)
```

I want sage show me someting like:

```
z^2-z*(1*I)-2
```

It doesn't mind the number of roots.

add a comment

1

Is that what you want?

```
sage: var('z')
sage: p=(z-2*I)*(z+1*I)
sage: p.expand()
z^2 - I*z + 2
```

Please start posting anonymously - your entry will be published after you log in or create a new account.

Asked: ** 2016-01-17 20:22:11 +0200 **

Seen: **101 times**

Last updated: **Jan 17 '16**

Multivariate Polynomials over Rational Function Fields

How do I Pass a tuple as an argument for a multivariate polynomial?

complex exponential/trigonometric

Is there an example of how i could write a polynomial as a product of linear factors

multi-symmetric functions and multi-partitions

Copyright Sage, 2010. Some rights reserved under creative commons license. Content on this site is licensed under a Creative Commons Attribution Share Alike 3.0 license.