Download presentation

Presentation is loading. Please wait.

Published byStephany Short Modified over 2 years ago

1
What is prime factorization? Maybe use this number as an example? -117 -1 3 39 3 13 So final answer is: -1 x 3 2 x 13

2
GCF – Greatest Common Factor Find the GCF of each set of monomials. 54, 63, 180 9 9 27a 2 b & 15ab 2 c 3ab 8g 2 h 2, 20gh, 36g 2 h 3 4gh

3
Relatively Prime Define relatively prime, then give an example. If two or more integers or monomials have a GCF of 1, then they are said to be relatively prime. Example: 21m and 25b

4
Factor completely: 140x 3 y 2 z -48cd 2 55p 2 – 11p 4 + 44p 5 -1 2 2 2 2 3 c d d 2 2 5 7 x x x y y z 11p 2 (5 – p 2 + 4p 3 )

5
Factor completely: 12ax + 3xz + 4ay + yz (3x + y) (4a + z) Since all terms do not have a common factor, use grouping: (12ax + 3xz) + (4ay + yz) 3x (4a + z)+ y (4a + z)

6
Factoring Trinomials ax 2 + bx + c Remember to do and check each step: 1)Can the equation be simplified? 2)Is there a GCF? (then take it (factor it) out!) 3)Is it a special pattern: a 2 – b 2, a 2 – 2ab + b 2, a 2 + 2ab + b 2 look for perfect squares!!! 4)No special pattern, then factor! (Use grouping, ac method, illegal or diamond factoring if necessary) Always follow these steps! a 2 – b 2 = (a + b)(a – b) a 2 – 2ab + b 2 = (a – b) 2 a 2 + 2ab + b 2 = (a + b) 2

7
Examples 4x 2 + 16 4(x 2 + 4) 1) Can it be simplified? 2. Is there a GCF?YES … so factor if out 3. Is it a special pattern? 4. Can it be factored any further? You’re done! NO!

8
Another Example 4x 2 – 16 4(x 2 – 4) 1) Can it be simplified? 2. Is there a GCF?YES … so factor if out 3. Is it a special pattern? 4. Can it be factored any further? Ta da … you’re done! YES – it’s the difference of squares so 4(x + 2)(x – 2) Did you notice the similarity and the differences between the last 2 problems?

9
Trinomial Examples x 2 + 7x + 12 (x + 4)(x + 3) 1) Can it be simplified? 2. Is there a GCF? 3. Is it a special pattern? 4. Factor … what are the factors of the last term that add up to the middle term? You’re done!

10
Trinomial Examples #2 x 2 + 3x – 10 (x + 5)(x – 2) 1) Can it be simplified? 2. Is there a GCF? 3. Is it a special pattern? 4. Factor … what are the factors of the last term that add up to the middle term? You’re done!

11
Trinomial Examples #3 2x 2 – 11x + 15 (2x – 5)(x – 3) 1) Can it be simplified? 2. Is there a GCF? 3. Is it a special pattern? 4. Factor … use the method of YOUR choice! You’re done! CAREFUL – there’s a number in front of the x 2 ! I’ll wait while you work it out …..

12
Trinomial Examples #4 4x 2 – 18x – 10 2(2x 2 – 9x – 5) 1) Can it be simplified? 2. Is there a GCF? 3. Is it a special pattern? 4. Factor … use the technique of YOUR choice! You’re done! CAREFUL – there’s a number in front of the x 2 ! I’ll wait while you work it out ….. 2(x – 5)(2x + 1)

13
Difference of Squares a 2 – b 2 (a + b)(a – b) Example: 4x 2 – 25 (2x + 5)(2x – 5) 2x 2x 5 5

14
What would you do? 48a 2 b 2 – 12ab 6x 2 y – 21y 2 w +24xw xy – 2xz + 5y – 10z

15
What would you do? a 2 – 10a + 21 3n 2 – 11n + 6 9x 2 – 25 x 2 – 6x – 27 = 0

Similar presentations

OK

5.4 Factoring Polynomials Alg 2. The GCF is 5ab. Answer: Distributive Property Factor Factoring with GCF.

5.4 Factoring Polynomials Alg 2. The GCF is 5ab. Answer: Distributive Property Factor Factoring with GCF.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on wireless sensor networks applications Ppt on busy accounting software Ppt on agriculture in indian economy Ppt on revolt of 1857 muslims Ppt on trade fair supermarkets Ppt on cd rom drive Ppt one hundred days of school Science ppt on electricity for class 10th Ppt on eia report pdf Ppt on review writing job