The word factor also appears in other contexts, such as algebra. A [[polynomial]], such as x<sup>3</sup>+3x<sup>2</sup>+2x, may be decomposed into a product of linear terms (terms of the form (ax+b) where a and b are real numbers, and a is nonzero); for example, x<sup>3</sup>+3x<sup>2</sup>+2x=x(x+1)(x+2). These linear terms are called the factors of the polynomial, and the process of determining the factors is called [[factorization]]. | The word factor also appears in other contexts, such as algebra. A [[polynomial]], such as x<sup>3</sup>+3x<sup>2</sup>+2x, may be decomposed into a product of linear terms (terms of the form (ax+b) where a and b are real numbers, and a is nonzero); for example, x<sup>3</sup>+3x<sup>2</sup>+2x=x(x+1)(x+2). These linear terms are called the factors of the polynomial, and the process of determining the factors is called [[factorization]]. |