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- CLEP College Algebra
- Factoring
Factoring polynomials: x2+bx+c
- Intro Lesson: a9:47
- Intro Lesson: b19:33
- Lesson: 1a1:58
- Lesson: 1b2:39
- Lesson: 1c2:39
- Lesson: 1d2:24
- Lesson: 2a3:29
- Lesson: 2b3:27
- Lesson: 2c3:28
- Lesson: 2d5:24
- Lesson: 2e5:07
- Lesson: 3a4:07
- Lesson: 3b4:14
- Lesson: 3c4:29
Factoring polynomials: x2+bx+c
This form of polynomials can be often factorized into a product of two binomials. Sometimes, we need to find the common factor of the polynomial before factorizing. We will learn it all in this lesson.
Basic Concepts: Prime factorization, Multiplying binomial by binomial, Common factors of polynomials
Related Concepts: Factor by taking out the greatest common factor, Factor by grouping, Factoring difference of squares: x2−y2, Factoring trinomials
Lessons
- Introductiona)
What is the cross-multiplying method of factoring? (a.k.a the Decomposition method)
- - How does it work?
- - How to use it?
b)How to Factor Polynomials? - 1.Factor the followinga)x2+7x+10b)x2−4x+4c)x2+7x−30d)x2−4x−21
- 2.Factor with common factoring firsta)4x2+20x+24b)−4x2−28x+120c)x2−12xy+36y2d)−x3y2−3x2y3+4xy4e)41x3−x2−8x
- 3.Factor with unusual exponentsa)x6n−3x3n+2b)x2n−7xnxm+10x2mc)(x−2y)2−8a(x−2y)+15a2
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13.
Factoring
13.1
Common factors of polynomials
13.2
Factor by taking out the greatest common factor
13.3
Factoring polynomials: ax2+bx+c
13.4
Find the difference of squares: (a−b)(a+b)=(a2−b2)
13.5
Factoring difference of squares: x2−y2
13.6
Introduction to quadratic functions
13.7
Factoring polynomials by grouping
13.8
Factoring polynomials: x2+bx+c
13.9
Evaluating polynomials
13.10
Word problems of polynomials
Don't just watch, practice makes perfect
Practice topics for Factoring
13.1
Common factors of polynomials
13.2
Factor by taking out the greatest common factor
13.3
Factoring polynomials: ax2+bx+c
13.4
Find the difference of squares: (a−b)(a+b)=(a2−b2)
13.5
Factoring difference of squares: x2−y2
13.6
Introduction to quadratic functions
13.7
Factoring polynomials by grouping
13.8
Factoring polynomials: x2+bx+c
13.9
Evaluating polynomials
13.10
Word problems of polynomials