Friday’s Homework 1.Any questions? 2.Make sure the homework is 100% complete. Incomplete work will NOT be accepted.
Factoring by GCF 5/9/2015 Factoring Polynomials Objective: factor polynomials by taking out the GCF. Students apply basic factoring techniques to second-and simple third-degree polynomials. These techniques include finding a common factor for all terms in a polynomial, recognizing the difference of two squares, and recognizing perfect squares of binomials.
Notes Prime Factorization = All of the prime factors of a number. Hockey Stick Method 1. Write an upside-down division sign. 2. Determine a prime-factor (2, 3, 5, 7, 11,…). 3. Write the factor in front of the division sign and place the quotient below. 4. Repeat until complete. 5. Write the prime factorization (the hockey stick). Prime Number = a whole number greater than 1 that has exactly two whole numbers as factors, itself and 1. 2, 3, 5, 7, 11, …
Notes Write the prime factorization. Ex. - Upside Down Division - Try 2, 3, 5, 7, 11, … - Anything else? - Draw Hockey Stick Ex. - Upside Down Division - Try 2, 3, 5, 7, 11, … - Anything else? - Draw Hockey Stick Ex. Now you try.
Notes Greatest Common Factor (GCF) = the highest factor of two or more numbers. Find the GCF. Ex. Now you try.
Notes Recall Distributive Property When we distribute, all we are doing is multiplying whatever is outside the parenthesis with what is inside. Distribution changes a multiplication problem into an addition or subtraction problem.
Notes Factoring by GCF Distributive Property BACKWARDS When we factor, all we are doing is pulling out the GCF of all terms inside the parenthesis. Factoring changes an addition/subtraction problem into a multiplication problem.
Notes Factor. Ex. This takes too long. Lets take off the training wheels. Ex. What is the GCF? What number goes in both? What letter goes in both? Now take out GCF. What is left?
Notes Factor. Ex. What is the GCF? What number goes in both? What letter goes in both? Now take out GCF. What is left? Ex. What is the GCF? What number goes in both? What letter goes in both? Now take out GCF. What is left? Ex. Now you try.
Summary The first option to factoring is to take out the _____. Find out which ________ and/or which ________ goes into every term in the parenthesis. Once you find the GCF then take it ____. Last keep inside the ___________ whatever is left-over. GCFnumber variable out parenthesis
Today’s Homework 1.Pencil ONLY. 2.Must show all of your work. NO WORK = NO CREDIT 3.Must attempt EVERY problem. 4.Always check your answers. Rules for Homework