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- Factoring Polynomial Expressions
Factoring polynomials: ax2+bx+c
- Intro Lesson17:28
- Lesson: 1a2:40
- Lesson: 1b2:16
- Lesson: 1c1:58
- Lesson: 1d1:30
- Lesson: 2a2:21
- Lesson: 2b2:09
- Lesson: 3a2:43
Factoring polynomials: ax2+bx+c
Before starting this lesson, check your understanding on how to factor x2+bx+c
we talked about in the other lesson first. The coefficient, a, in front of x2
can make it a bit more challenging, but we will show you the tricks to make it easy!
we talked about in the other lesson first. The coefficient, a, in front of x2
can make it a bit more challenging, but we will show you the tricks to make it easy!
Basic Concepts: Prime factorization, Multiplying binomial by binomial, Common factors of polynomials, Factoring polynomials: x2+bx+c
Related Concepts: Factor by taking out the greatest common factor, Factor by grouping, Factoring difference of squares: x2−y2, Factoring trinomials
Lessons
- IntroductionOverview of factoring polynomials with a coefficient in front of x2
- 1.Factor the following:a)9x2+3x−2b)21x2−41x+10c)8x2+x−9d)15x2−16x−15
- 2.Factor with common factoring firsta)−36x2−96xy−64y2b)−3a2(b+1)2−2a(b+1)2+5(b+1)2
- 3.Factor with unusual exponentsa)−6x8a+17x4ay4b−10y8b
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18.
Factoring Polynomial Expressions
18.1
Common factors of polynomials
18.2
Factoring polynomials by grouping
18.3
Solving polynomials with the unknown "b" from x2+bx+c
18.4
Solving polynomials with the unknown "c" from x2+bx+c
18.5
Factoring polynomials: x2+bx+c
18.6
Applications of polynomials: x2+bx+c
18.7
Solving polynomials with the unknown "b" from ax2+bx+c
18.8
Factoring polynomials: ax2+bx+c
18.9
Factoring perfect square trinomials: (a+b)2=a2+2ab+b2 or (a−b)2=a2−2ab+b2
18.10
Find the difference of squares: (a−b)(a+b)=(a2−b2)
18.11
Evaluating polynomials
18.12
Using algebra tiles to factor polynomials
18.13
Solving polynomial equations
18.14
Word problems of polynomials
Don't just watch, practice makes perfect
Practice topics for Factoring Polynomial Expressions
18.1
Common factors of polynomials
18.2
Factoring polynomials by grouping
18.3
Solving polynomials with the unknown "b" from x2+bx+c
18.4
Solving polynomials with the unknown "c" from x2+bx+c
18.5
Factoring polynomials: x2+bx+c
18.6
Applications of polynomials: x2+bx+c
18.7
Solving polynomials with the unknown "b" from ax2+bx+c
18.8
Factoring polynomials: ax2+bx+c
18.9
Factoring perfect square trinomials: (a+b)2=a2+2ab+b2 or (a−b)2=a2−2ab+b2
18.10
Find the difference of squares: (a−b)(a+b)=(a2−b2)
18.11
Evaluating polynomials
18.13
Solving polynomial equations
18.14
Word problems of polynomials