# 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 #141 : Variables

Simplify the following:

Explanation:

### Example Question #1 : Simplifying Expressions

Simplify x(4 – x) – x(3 – x).

0

1

x2

x

3x

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 #1 : 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 #11 : Simplifying Expressions

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 #12 : Simplifying Expressions

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 #1 : How To Add Polynomials

Simplify

Explanation:

To simplify you combind like terms:

Combine: