What are the 9 types of factoring?

Types of Factoring polynomials

• Greatest Common Factor (GCF)
• Grouping Method.
• Sum or difference in two cubes.
• Difference in two squares method.
• General trinomials.
• Trinomial method.

How do you factor polynomials step by step?

1. Step 1: Identify the GCF of the polynomial.
2. Step 2: Divide the GCF out of every term of the polynomial.
3. Step 1: Identify the GCF of the polynomial.
4. Step 2: Divide the GCF out of every term of the polynomial.
5. Step 1: Identify the GCF of the polynomial.
6. Step 2: Divide the GCF out of every term of the polynomial.

What are the 5 rules of factoring?

Factoring Rules

• x2 – (r + s)x + rs = (x – r)(x – s)
• x2 + 2ax + a2 = (x + a)2 and x2 – 2ax + a2 = (x – a)2
• Difference of squares: a2 – b2 = (a – b)(a + b)
• Difference of cubes: a3 – b3 = (a – b)(a2 + ab + b2)
• a4 – b4 = (a – b)(a3 + a2b + ab2 + b3) = (a – b) [ a2(a + b) + b2(a + b) ] = (a – b)(a + b)(a2 + b2)

What are the 6 types of factoring?

The lesson will include the following six types of factoring:

• Group #1: Greatest Common Factor.
• Group #2: Grouping.
• Group #3: Difference in Two Squares.
• Group #4: Sum or Difference in Two Cubes.
• Group #5: Trinomials.
• Group #6: General Trinomials.

How many formulas are there in Factorisation?

Factorisation Methods. There are four methods to factorise the algebraic expressions.

What is the formula for factorization?

The general factorization formula is expressed as N = Xa × Yb × Zc. Here, X, Y, Z represent the factors of a factorized number.

What are the rules of factorization?

Basic Factorisation Formula

• a2 – b2 = (a – b)(a + b)
• (a + b)2 = a2 + 2ab + b2
• (a – b)2 = a2 – 2ab + b2
• a3 – b3 = (a – b)(a2 + ab + b2)
• a3 + b3 = (a + b)(a2 – ab + b2)
• (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca.
• (a – b – c)2 = a2 + b2 + c2 – 2ab + 2bc – 2ca.