All Pre-Algebra Resources
Example Questions
Example Question #1 : Multiplying And Dividing Polynomials
Multiply:
Multiply making sure to distribute the negative sign:
Example Question #2 : Multiplying And Dividing Polynomials
Multiply:
Example Question #3 : Multiplying And Dividing Polynomials
Simplify:
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 #4 : Multiplying And Dividing Polynomials
Expand the following:
Recall that when expanding polynomials, we use the term FOIL (First, Outside, Inside, Last) 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:
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:
Use the distributive property:
Example Question #1 : Multiplying And Dividing Polynomials
Multiply:
This product fits the sum of cubes pattern, where :
So
Example Question #1 : How To Divide Polynomials
Simplify:
Cancel by subtracting the exponents of like terms:
Example Question #4 : Multiplying And Dividing Polynomials
Simplify the following expression:
=
Use FOIL (First Outer Inner Last).
Example Question #5 : Multiplying And Dividing Polynomials
Expand the following expression:
Use FOIL to expand the polynomial.