# Adding and subtracting polynomials

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##### Intros
###### Lessons
1. How to find the degree of a polynomial?
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##### Examples
###### Lessons
1. Adding and Subtracting Polynomials
1. $\left( {4 - 2x + 3{x^2}} \right) + \left( { - x - 4{x^2} + 7} \right)$
2. $\left( {7a + 1} \right) + \left( { - 4 - 3a} \right)$
3. $\left( {{n^2} - 5} \right) + \left( {{n^2} + 6} \right)$
4. $\left( x - 4xy - 2y \right) + \left( {3xy - y} \right) + \left( { - 6x - 5y} \right)$
2. Write the opposite of each expression.
1. $- 2{x^3} + 5x - 4.6$
2. $7n - 3$
3. ${y^2} - 8y + 1$
3. Subtract the following polynomials.
1. $\left( { - 2{x^2} - 6x + 3} \right) - \left( {3{x^2} - x - 8} \right)$
2. $\left( { - {x^2} + 7 - 3x} \right) - \left( {8 - x} \right)$
3. $\left( {5{x^2} - 3x} \right) - \left( {2x - {x^2}} \right)$
4. $\left( { - xy + 3x - 3} \right) - \left( { - x - 5 + 6xy} \right)$
4. Combine like terms.
1. $\left( {{a^2} - 3a} \right) + \left( {2{a^2} - 4} \right) - \left( {6a - 1} \right)$
2. $\left( {x + 5} \right) + \left( {2x - 3} \right) + \left( {7x - 6} \right)$
3. $\left( { - 4x - 3.1} \right) - \left( { - 5.6x - 2} \right) - \left( {1.1x - 0.6} \right)$
4. $\left( {3y - 2} \right) + \left( {y - 6} \right) + \left( {10y - 5} \right)$
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