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- Factorising Polynomial Expressions
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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18.
Factorising Polynomial Expressions
18.1
Common factors of polynomials
18.2
Factorising 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
Factorising 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
Factorising polynomials: ax2+bx+c
18.9
Factorising 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 factorise polynomials
18.13
Solving polynomial equations
18.14
Word problems of polynomials
Don't just watch, practice makes perfect
Practice topics for Factorising Polynomial Expressions
18.1
Common factors of polynomials
18.2
Factorising 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
Factorising 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
Factorising polynomials: ax2+bx+c
18.9
Factorising 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