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- Factorising 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
Do better in math today
28.
Factorising Polynomial expressions
28.1
Common factors of polynomials
28.2
Factorising polynomials by grouping
28.3
Solving polynomials with the unknown "b" from x2+bx+c
28.4
Solving polynomials with the unknown "c" from x2+bx+c
28.5
Factorising polynomials: x2+bx+c
28.6
Applications of polynomials: x2+bx+c
28.7
Solving polynomials with the unknown "b" from ax2+bx+c
28.8
Factorising polynomials: ax2+bx+c
28.9
Factorising perfect square trinomials: (a+b)2=a2+2ab+b2 or (a−b)2=a2−2ab+b2
28.10
Find the difference of squares: (a−b)(a+b)=(a2−b2)
28.11
Evaluating polynomials
28.12
Solving polynomial equations
28.13
Word problems of polynomials
Don't just watch, practice makes perfect
Practice topics for Factorising Polynomial expressions
28.1
Common factors of polynomials
28.2
Factorising polynomials by grouping
28.3
Solving polynomials with the unknown "b" from x2+bx+c
28.4
Solving polynomials with the unknown "c" from x2+bx+c
28.5
Factorising polynomials: x2+bx+c
28.6
Applications of polynomials: x2+bx+c
28.7
Solving polynomials with the unknown "b" from ax2+bx+c
28.8
Factorising polynomials: ax2+bx+c
28.9
Factorising perfect square trinomials: (a+b)2=a2+2ab+b2 or (a−b)2=a2−2ab+b2
28.10
Find the difference of squares: (a−b)(a+b)=(a2−b2)
28.11
Evaluating polynomials
28.12
Solving polynomial equations
28.13
Word problems of polynomials