Download presentation
Presentation is loading. Please wait.
Published byRaymond Walters Modified over 9 years ago
1
Unit 4 Algebra Investigations Lesson 2: Factoring Polynomials and Expanding Polynomials MM1A2f. Factor expressions by greatest common factor, grouping, trial & error, and special products. MM1A3c. Use a variety of techniques, including technology, tables, & graphs to solve equations resulting from investigation of x ² + bx+c = 0 Notes 2.6: Factor x 2 + bx + c
2
Factoring x 2 + bx + c Algebra: x 2 + bx + c = (x + p)(x + q) provided ______ = b and ____ = c. Example: x 2 + 6x + 5 = (_____) (_____) because ________ = 6 and ______ = 5
3
Factoring Tricks The SIGNS of the terms in your trinomial will give you a clue as to it’s factored form!! x 2 + bx + c When b and c are positive x 2 + bx + c (x + _)(x + _) When b is negative and c is positive x 2 - bx + c (x - _)(x - _) When b is positive and c is negative x 2 + bx - c (x + Larger )(x – smaller ) When b is negative and c is negative x 2 - bx - c ( x – larger )(x + smaller )
4
Preview Practice Examples:
5
(Ex 1) Factor when b and c are positive. Factor: x 2 + 10x + 16 Factor: y ² + 6y + 5
6
(Ex 2) Factor when b is negative and c is positive. Factor: a 2 – 5a + 6 Factor: w ² - 10w + 9
7
(Ex 3) Factor when b is positive and c is negative. Factor: y 2 + 3y – 10 Factor: x ² + 6x - 7
8
Ex: 4 Solve polynomial equation x ² - 4x = 21
9
Checkpoint: Factor the trinomial. 1. x 2 + 7x + 12 2.x 2 + 9x + 8 3.x 2 – 12x + 27
10
Checkpoint: Factor the trinomial. 4. x 2 – 9x + 20 5. y 2 + 4y – 21 6. z 2 + 2z – 24
11
Assignment Pg. 83 # 1-9, 11 – 18 (odd)
Similar presentations
© 2025 SlidePlayer.com. Inc.
All rights reserved.