# Factoring polynomials: x^2 + bx + c

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##### Intros
###### Lessons
1. What is the cross-multiplying method of factoring? (a.k.a the Decomposition method)

• - How does it work?
• - How to use it?
2. How to Factor Polynomials?
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##### Examples
###### Lessons
1. Factor the following
1. ${x^2 +7x +10}$
2. ${x^2-4x+4}$
3. ${x^2+7x-30}$
4. ${x^2-4x-21}$
2. Factor with common factoring first
1. ${4x^2+20x+24}$
2. ${-4x^2 - 28x + 120}$
3. ${x^2-12xy+36y^2}$
4. ${-x^3y^2-3x^2y^3+4xy^4}$
5. ${1\over4}{x^3-x^2-8x}$
3. Factor with unusual exponents
1. ${x^{6n}-3x^{3n}+2}$
2. ${x^{2n}-7x^nx^m+10x^{2m}}$
3. ${(x-2y)^2-8a(x-2y)+15a^2}$
###### Topic Notes
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.