1. Holt Algebra 1 8-2 Factoring by GCF 8-2 Factoring by GCF Holt Algebra 1 Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson Quiz

2. Holt Algebra 1 8-2 Factoring by GCF Quiz Homework from Tuesday, keep till I see you next. If you didn’t have it Monday or Tuesday, make sure you show me when I see you next!

3. Holt Algebra 1 8-2 Factoring by GCF Warm Up 1. 2(w + 1) 2. 3x(x 2 – 4) 2w + 2 3x 3 – 12x 2h2h Simplify. 13p Find the GCF of each pair of monomials. 3. 4h 2 and 6h 4. 13p and 26p 5

4. Holt Algebra 1 8-2 Factoring by GCF Factor polynomials by using the greatest common factor. Objective

5. Holt Algebra 1 8-2 Factoring by GCF Example 1A: Factoring by Using the GCF Factor each polynomial. Check your answer. 2x 2 – 4 2x 2 = 2  x  x 4 = 2  2 2 Find the GCF. The GCF of 2x 2 and 4 is 2. Write terms as products using the GCF as a factor. 2(x 2 – 2) Check 2(x 2 – 2) 2x 2 – 4 Multiply to check your answer. The product is the original polynomial. What’s left over goes in ( ).

6. Holt Algebra 1 8-2 Factoring by GCF Aligning common factors can help you find the greatest common factor of two or more terms. Writing Math

7. Holt Algebra 1 8-2 Factoring by GCF To find the GCF: 1 st Find the GCF of the Coefficients. 2 nd Find the GCF of the Variables. Choose the variable with smallest degree.

8. Holt Algebra 1 8-2 Factoring by GCF Example 1B: Factoring by Using the GCF Factor each polynomial. Check your answer. 8x 3 – 4x 2 – 16x 4x(2x 2 – x – 4) 8x 3 – 4x 2 – 16x 8x 3 = 2  2  2  x  x  x 4x 2 = 2  2  x  x 16x = 2  2  2  2  x 2  2  x = 4x Find the GCF. The GCF of 8x 3, 4x 2, and 16x is 4x. Write terms as products using the GCF as a factor. What’s left over goes in ( ). Multiply to check your answer. The product is the original polynomials. Check

9. Holt Algebra 1 8-2 Factoring by GCF Example 1C: Factoring by Using the GCF Factor each polynomial. Check your answer. – 14x – 12x 2 – 1(14x + 12x 2 ) Both coefficients are negative. Factor out –1. Find the GCF. The GCF of 14x and 12x 2 is 2x. – 1[2x(7 + 6x)] – 2x(7 + 6x) Write each term as a product using the GCF. What is left over goes in ( ). 14x = 2  7  x 12x 2 = 2  2  3  x  x 2  x = 2x

10. Holt Algebra 1 8-2 Factoring by GCF Example 1C: Factoring by Using the GCF Factor each polynomial. Check your answer. – 14x – 12x 2 Check – 2x(7 + 6x) Multiply to check your answer. The product is the original polynomial. – 14x – 12x 2

11. Holt Algebra 1 8-2 Factoring by GCF When you factor out –1 as the first step, be sure to include it in all the other steps as well. Caution!

12. Holt Algebra 1 8-2 Factoring by GCF You try: Factoring by Using the GCF Factor the polynomial. Check your answer. 12x 3 y 5 – 60x 4 y 3 + 30x 3 y 3

13. Holt Algebra 1 8-2 Factoring by GCF Check your answer. 6x 3 y 3 (2y 2 -10x+5)

14. Holt Algebra 1 8-2 Factoring by GCF Assignment: Odd problems Starting with 12x 2 + 3 Due Friday- Make sure you bring paper back on Friday. (Assignment on Friday on back.) Quiz Friday (evens extra credit)