What is factorisation and explain its three parts?
Answers
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.
In mathematics, factorization or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind. For example, 3 × 5 is a factorization of the integer 15, and is a factorization of the polynomial x² – 4.
Answer:
In mathematics, factorization (or factorisation, see English spelling differences) or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind. For example, 3 × 5 is a factorization of the integer 15, and (x – 2)(x + 2) is a factorization of the polynomial x2 – 4.
The polynomial x2 + cx + d, where a + b = c and ab = d, can be factorized into (x + a)(x + b).
Factorization is not usually considered meaningful within number systems possessing division, such as the real or complex numbers, since any {\displaystyle x}x can be trivially written as {\displaystyle (xy)\times (1/y)}{\displaystyle (xy)\times (1/y)} whenever {\displaystyle y}y is not zero. However, a meaningful factorization for a rational number or a rational function can be obtained by writing it in lowest terms and separately factoring its numerator and denominator.