# Algebra 1 : How to add polynomials

## Example Questions

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### Example Question #1 : How To Add Polynomials

Subtract from .      Explanation:

Subtract the first expression from the second to get the following: This is equal to: Combine like terrms: ### Example Question #1 : How To Add Polynomials

Simplify the following:      Explanation:  ### Example Question #1 : Simplifying Expressions

Simplify x(4 – x) – x(3 – x).

0

x

3x

1

x2

x

Explanation:

You must multiply out the first set of parenthesis (distribute) and you get 4x – x2. Then multiply out the second set and you get –3x + x2. Combine like terms and you get x.

x(4 – x) – x(3 – x)

4x – x2 – x(3 – x)

4x – x2 – (3x – x2)

4x – x2 – 3x + x2 = x

### Example Question #2 : Simplifying Polynomials

Simplify the following expression.       Explanation: This is not a FOIL problem, as we are adding rather than multiplying the terms in parenteses.  Combining these terms into an expression gives us our answer. ### Example Question #4 : How To Add Polynomials

Simplify the expression.   None of the other answers are correct.   Explanation:

When simplifying polynomials, only combine the variables with like terms. can be added to , giving  can be subtracted from to give .

Combine both of the terms into one expression to find the answer: ### Example Question #5 : How To Add Polynomials

Simplify the following expression.       Explanation: This is not a FOIL problem, as we are adding rather than multiplying the terms in parentheses. and have no like terms and cannot be combined with anything.

5 and -5 can be combined however: This leaves us with .

### Example Question #6 : How To Add Polynomials

Find the LCM of the following polynomials: , ,       Explanation:

LCM of LCM of and since The LCM ### Example Question #7 : How To Add Polynomials       Explanation:

First factor the denominators which gives us the following: The two rational fractions have a common denominator hence they are like "like fractions".  Hence we get: Simplifying gives us ### Example Question #8 : How To Add Polynomials

Simplify      Explanation: To simplify you combind like terms:  ### Example Question #2 : How To Add Polynomials

Combine:      When combining polynomials, only combine like terms. With the like terms, combine the coefficients. Your answer is  