### All Pre-Algebra Resources

## Example Questions

### Example Question #1 : Multiplying And Dividing Polynomials

Multiply:

**Possible Answers:**

**Correct answer:**

Multiply making sure to distribute the negative sign:

### Example Question #2 : Multiplying And Dividing Polynomials

Multiply:

**Possible Answers:**

**Correct answer:**

### Example Question #1 : Multiplying And Dividing Polynomials

Simplify:

**Possible Answers:**

**Correct answer:**

When multiplying, remember the *Product Rule of Exponents*:

**Step 1:** Multiply the first term of the first polynomial across the terms of the second polynomial, and then add those products:

**Step 2:** Multiply the second term of the first polynomial across the terms of the second polynomial, and again add the products:

**Step 3:** Add the products from Step 1 and Step 2 by combining like terms. Remember that variables with different exponents are not like terms. For example, and are like terms, but, and are not like terms:

### Example Question #1 : Multiplying And Dividing Polynomials

Expand the following:

**Possible Answers:**

**Correct answer:**

Recall that when expanding polynomials, we use the term FOIL (**F**irst, **O**utside, **I**nside, **L**ast) to help us multiply all terms together.

Next, multiply each term to simplify and combine like terms. *Note: Be careful with negative signs.*

### Example Question #1 : Multiplying And Dividing Polynomials

Simplify:

**Possible Answers:**

**Correct answer:**

To solve, you can use the commutative and associative properties of multiplication to group like-terms together.

The 4 and 3 should be first multiplied, resulting in 12.

Next should be multiplied by , giving us .

12 times is equal to .

Therefore, the correct answer is .

### Example Question #1 : Multiplying And Dividing Polynomials

Multiply:

**Possible Answers:**

**Correct answer:**

Use the distributive property:

### Example Question #1 : Multiplying And Dividing Polynomials

Multiply:

**Possible Answers:**

**Correct answer:**

This product fits the sum of cubes pattern, where :

So

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

Simplify:

**Possible Answers:**

**Correct answer:**

Cancel by subtracting the exponents of like terms:

### Example Question #1 : Multiplying And Dividing Polynomials

Simplify the following expression:

**Possible Answers:**

=

**Correct answer:**

Use FOIL (**F**irst **O**uter **I**nner **L**ast).

### Example Question #1 : Multiplying And Dividing Polynomials

Expand the following expression:

**Possible Answers:**

**Correct answer:**

Use FOIL to expand the polynomial.