## 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.