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Factoring

The process of factoring a real number involves expressing the number as a product of prime factors. Because a prime number has only two factors, the number 1 and the prime number itself, they are considered to be irreducible factors. Similarly, one factors a polynomial expression by representing it as a product of irreducible polynomials, i.e., polynomials that cannot be further reduced into other factors aside from the number 1 and itself.

EX.
12 = 2 × 2 × 3

x2 + x = x (x + 1)

15x2y + 18xy2 = 3xy (5x + 6y)

x3 + 5x2 = x2 (x + 5)

xy + 2y + 7x + 14
= y(x + 2) + 7(x + 2)
= (y + 7) (x + 2)

Subject: 
Algebra [1]
Subject X2: 
Algebra [1]

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