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Adding polynomials is pretty much the same as simplifying them in the last lesson. All of the like terms can be combined.

For instance if we needed to add $4x^2-3+7x$ and $5x-x^2+7+2x^3$ it would look like this $(4x^2-3+7x)+(5x-x^2+7+2x^3)$. All of the terms can then be put in order starting with the highest exponent and alphabetically resulting in $2x^3+4x^2-x^2+7x+5x+7-3$. Like terms can be combined to give a final polynomial of $2x^3+3x^2+12x+4$.

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