2. Multiplying a binomial by a monomial uses the Distribute property Distribute the 5

3. A B C D Solution:

4. Multiplying two binomial uses the FOIL FirstOuterInner Last

6. Special case – Square of a binomial

7. Factors: When an integer is written as a product of integers, each of the integers in the product is a factor of the original number.

8. Greatest common factor – largest quantity that is a factor of all the integers or polynomials involved. Find the GCF of each list of numbers.

9. 1) x 3 and x 7 x 3 = x · x · x x 7 = x · x · x · x · x · x · x So the GCF is x · x · x = x 3 2) 6x 5 and 4x 3 6x 5 = 2 · 3 · x · x · x x · x 4x 3 = 2 · 2 · x · x · x So the GCF is 2 · x · x · x = 2x 3 Find the GCF of each list of terms.

11.  To factor a polynomial, find the greatest common factor (GCF) of the coefficients and constants and also the GCF of the variables.  Factoring a polynomial reverses the multiplication process. It is writing a polynomial as a product of polynomials.  Then write the polynomial as a product by factoring out the GCF from all the terms.

12. Step 1 – Factor each term Step 3 - Factoring out of the polynomial Step 2 – Find the GCF

13. Step 1 – Factor each term Step 3 - Factoring out of the polynomial Step 2 – Find the GCF

14.  Remember that factoring out the GCF from the terms of a polynomial should always be the first step in factoring a polynomial.  This will usually be followed by additional steps in the process.