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8-2. Factoring by GCF. Lesson Quiz. Warm Up. Lesson Presentation. Holt Algebra 1. 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!. Warm Up 1. 2( w + 1) 2. 3 x ( x 2 – 4). Simplify. 2 w + 2. - PowerPoint PPT Presentation
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Holt Algebra 1
8-2 Factoring by GCF8-2 Factoring by GCF
Holt Algebra 1
Warm UpWarm Up
Lesson PresentationLesson Presentation
Lesson QuizLesson Quiz
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!
Holt Algebra 1
8-2 Factoring by GCF
Warm Up
1. 2(w + 1)
2. 3x(x2 – 4)
2w + 2
3x3 – 12x
2h
Simplify.
13p
Find the GCF of each pair of monomials.
3. 4h2 and 6h
4. 13p and 26p5
Holt Algebra 1
8-2 Factoring by GCF
Factor polynomials by using the greatest common factor.
Objective
Holt Algebra 1
8-2 Factoring by GCF
Example 1A: Factoring by Using the GCFFactor each polynomial. Check your answer.
2x2 – 4
2x2 = 2 x x 4 = 2 2
2
Find the GCF.
The GCF of 2x2 and 4 is 2.Write terms as products using the
GCF as a factor.2(x2 – 2)
Check 2(x2 – 2)
2x2 – 4
Multiply to check your answer.The product is the original
polynomial.
What’s left over goes in ( ).
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
Holt Algebra 1
8-2 Factoring by GCF
To find the GCF:1st Find the GCF of the Coefficients.
2nd Find the GCF of the Variables. Choose the variable with smallest degree.
Holt Algebra 1
8-2 Factoring by GCF
Example 1B: Factoring by Using the GCFFactor each polynomial. Check your answer.
8x3 – 4x2 – 16x
4x(2x2 – x – 4)
4x(2x2 – x – 4)
8x3 – 4x2 – 16x
8x3 = 2 2 2 x x x4x2 = 2 2 x x
16x = 2 2 2 2 x
2 2 x = 4x
Find the GCF.
The GCF of 8x3, 4x2, 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 1
8-2 Factoring by GCF
Example 1C: Factoring by Using the GCFFactor each polynomial. Check your answer.
–14x – 12x2
– 1(14x + 12x2) Both coefficients are negative. Factor out –1.
Find the GCF.
The GCF of 14x and 12x2 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 x12x2 = 2 2 3 x x
2 x = 2x
Holt Algebra 1
8-2 Factoring by GCF
Example 1C: Factoring by Using the GCFFactor each polynomial. Check your answer.
–14x – 12x2
Check –2x(7 + 6x)
Multiply to check your answer.
The product is the original polynomial.
–14x – 12x2
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!
Holt Algebra 1
8-2 Factoring by GCF
You try: Factoring by Using the GCFFactor the polynomial. Check your answer.
12x3y5– 60x4y3+ 30x3y3
Holt Algebra 1
8-2 Factoring by GCF
Check your answer.
6x3y3(2y2-10x+5)
Holt Algebra 1
8-2 Factoring by GCF
Assignment:
Odd problemsStarting with 12x2 + 3Due Friday- Make sure you bring paper back on Friday. (Assignment on Friday on back.)Quiz Friday(evens extra credit)
