# How do I find the sum of polynomials?

• Mar 25th 2009, 05:01 PM
avshockey
How do I find the sum of polynomials?
(11m^2-2mn+8n^2)+(8m^2+4mn-2n^2)
• Mar 25th 2009, 05:08 PM
rtblue
ok. The original problem:

\$\displaystyle 11m^2-2mn+8n^2+8m^2+4mn-2n^2\$

now, you are to combine like terms. This means to combine the terms that have the same variables being multiplied to each other. Look at \$\displaystyle 11m^2\$ you will combine this with \$\displaystyle 8m^2\$ because they both have everything exactly the same, except for the coefficient(the number). so, you will get \$\displaystyle 19m^2\$, and you do this for the whole problem to get:

\$\displaystyle 19m^2+2mn+6n^2\$

YAY

Once again, you are adding and subtracting the numbers that have the same variable ending, simply put.
• Mar 26th 2009, 06:35 AM
stapel
Quote:

Originally Posted by avshockey
(11m^2-2mn+8n^2)+(8m^2+4mn-2n^2)

Many students find it helpful to add polynomials vertically:

[html]11m^2 - 2mn + 8n^2
8m^2 + 4mn - 2n^2
------------------
19m^2 + 2mn + 6n^2[/html]

:D