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factor |
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factor, in arithmetic, any number that divides a given number evenly, i.e., without any remainder. The factors of 12 are 1, 2, 3, 4, 6, and 12. Similarly in algebra, any one of the algebraic expressions multiplied by another to form a product is a factor of that product, e.g., a+b and a−b are factors of a2−b 2, since (a+b)(a−b)=a2−b2. In general, if r is a root root, in mathematics, number or quantity r for which an equation f(r)=0 holds true, where f is some function . If f is a polynomial , r is called a root of f; for example, r=3 and r ..... Click the link for more information. of a polynomial polynomial, mathematical expression which is a finite sum, each term being a constant times a product of one or more variables raised to powers. With only one variable the general form of a polynomial is a0xn+a ..... Click the link for more information. equation f(x)=0, then (x−r) is a factor of the polynomial f(x). factorIn multiplication, one of two or more numerical or algebraic components of a product. A whole number's factors are the whole numbers that divide evenly into it (e.g., 1, 2, 3, 4, 6, and 12 are factors of 12). To factor a counting number means to break it down into its prime number factors. To factor a polynomial is to find its prime polynomial factors, a basic procedure for solving algebraic equations. According to the fundamental theorem of arithmetic, the prime factorization of any number or polynomial is unique. A number that divides evenly into another number. For example, 3 and 4 are factors of 12. See factorial and IFP.
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