Download presentation

Published byGrace Brown Modified over 4 years ago

1
**There is a pattern for factoring trinomials of this form, when c**

Factoring Patterns There is a pattern for factoring trinomials of this form, when c is positive x² + bx + c

2
**Trinomials have 3 terms x² + 9x +8**

The first term is of degree two and so the term is called a quadratic term The second term is called the linear term The last term is called the constant (it has no variable factor) The trinomial itself is called a quadratic polynomial

3
**Examples of trinomials in this form**

x² + 9x + 8 r² + 10 r + 24 y² - 14y + 13 m² - 10m + 16 NOTE: coefficient of quadratic term is 1 constant term is positive Notice that in each case the coefficient of the quadratic term is 1 and the constant term is positive.

4
**To factor trinomials like x² + 8x + 16**

List pairs of factors whose product equal the constant term 4 4 Find the pair of factors whose sum equals the coefficient of the linear term. 4 + 4 = 8

5
Factor x² + 8x + 16 (x + 4)(x + 4) or (x+4)²

6
**y² + 20y + 36 Factors of 36 1 36 6 6 9 4 12 3 18 2 Sum of factors 37**

Sum of factors 37 12 13 15 20

7
**So factor y² + 20y + 36 (y + 18) ( y + 2)**

Check by multiplying the binomials using FOIL y² + 2y + 18y + 36 y² + 20y + 36

8
Factor x² - 12x + 20 Since the linear term is negative and the constant term is positive we must list the negative factors of 20.

9
So factor x² - 12x + 20 We know the only possible factors are –2 and –10 so we write (x – 2)(x – 10) Check by applying FOIL x² -10x –2x + 20 x² - 12x + 20

10
**Another Factoring Pattern**

x² - ax – c There is also a pattern for factoring trinomials of this form when c is negative

11
**Trinomials with three terms**

x² + 29x – 30 m² + 12m – 36 k² - 25 k – 54 g² -g – 2 Note: coefficient of quadratic term is 1 constant term is negative

12
**To factor trinomials like x² + 7x - 18**

List pairs of factors of -18 Sum of factors 3 -3 -7 7 17 -17

13
So factor x² + 7x - 18 Since the linear term is positive select factors which give a positive result when added. But remember, because the constant term is negative, one factor must be negative. Using the preceding factor list we can write (x + 9) (x – 2) Check using FOIL x² - 2x + 9x – 18 x² + 7x - 18

Similar presentations

Presentation is loading. Please wait....

OK

U1A L1 Examples FACTORING REVIEW EXAMPLES.

U1A L1 Examples FACTORING REVIEW EXAMPLES.

© 2018 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google

Ppt on rural education and sustainable development Ppt on dry cell and wet cellulose Ppt on plants for grade 4 Ppt on immunization schedule in india Ppt on inside our earth Ppt on exponents and powers for class 8 Ppt on types of chemical bonding Download ppt on albert einstein at school Ppt on business letter writing Ppt on punjabi culture in punjabi language