Download presentation

Presentation is loading. Please wait.

1
**Factoring Polynomials**

2
**Example 1 Find factorizations of 6x2. (6)(x2) (1x)(6x) (1)(6x2)**

3
**Example 2 Factor. a) 5x3 + 10 5( ) x3 + 2 b) 6x3 + 12x2 6x2( ) x + 2**

5( ) x3 + 2 b) 6x3 + 12x2 6x2( ) x + 2 c) 12u3v2 + 16uv4 4uv2( ) 3u2 + 4v2

4
Practice Factor. 1) x2 + 3x 2) a2b + 2ab

5
**Example 3 Factor. d) 18y4 – 6y3 + 12y2 e) 8x4y3 – 6x2y4**

f) 5x3y4 + 7x2z3 + 3y2z

6
**Example 3 Factor. d) 18y4 – 6y3 + 12y2 6y2( ) 3y2 - y + 2**

e) 8x4y3 – 6x2y4 2x2y3( ) 4x2 - 3y f) 5x3y4 + 7x2z3 + 3y2z No common factors

7
Practice Factor. 1) 3x6 – 5x3 + 2x2 2) 9x4 – 15x3 + 3x2

8
Practice Factor. 3) 2p3q2 + p2q + pq 4) 12m4n4 + 3m3n2 + 6m2n2

9
Factor by Grouping When polynomials contain four terms, it is sometimes easier to group like terms in order to factor. Your goal is to create a common factor. You can also move terms around in the polynomial to create a common factor. Practice makes you better in recognizing common factors.

10
**Factoring Four Term Polynomials**

11
**Factor by Grouping FACTOR: 3xy - 21y + 5x – 35**

Factor the first two terms: 3xy - 21y = 3y (x – 7) Factor the last two terms: + 5x - 35 = 5 (x – 7) The green parentheses are the same so it’s the common factor Now you have a common factor (x - 7) (3y + 5)

12
**Factor by Grouping FACTOR: 6mx – 4m + 3rx – 2r**

Factor the first two terms: 6mx – 4m = 2m (3x - 2) Factor the last two terms: + 3rx – 2r = r (3x - 2) The green parentheses are the same so it’s the common factor Now you have a common factor (3x - 2) (2m + r)

13
**Factor by Grouping FACTOR: 15x – 3xy + 4y –20**

Factor the first two terms: 15x – 3xy = 3x (5 – y) Factor the last two terms: + 4y –20 = 4 (y – 5) The green parentheses are opposites so change the sign on the 4 - 4 (-y + 5) or – 4 (5 - y) Now you have a common factor (5 – y) (3x – 4)

Similar presentations

OK

FACTORING Think Distributive property backwards Work down, Show all steps ax + ay = a(x + y)

FACTORING Think Distributive property backwards Work down, Show all steps ax + ay = a(x + y)

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on l&t finance limited Ppt on centring ig Download ppt on mobile operating system Ppt on current account deficit means Ppt on eye oscillation Ppt on organisational structure and design Ppt on septic abortion Ppt on channels of distribution of a product Download ppt on conservation of biodiversity Ppt on australian continental drift