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.

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

Holt Algebra 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!

Holt Algebra 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

Holt Algebra Factoring by GCF Factor polynomials by using the greatest common factor. Objective

Holt Algebra 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 ( ).

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

Holt Algebra 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.

Holt Algebra 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

Holt Algebra 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

Holt Algebra 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

Holt Algebra 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!

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

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

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