Thursday, August 18, 2011

Mastering Algebra - Recognizing the special products and factors - Part I

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▷▷▷Mastering Algebra - Recognizing the special products and factors - Part I

One of the main problems in algebra is the learning of specific products and their respective factors to recognize. For example, the special polynomials, which for the difference of two perfect squares and perfect square trinomials standard factors that are easy to get, once recognize these polynomials, it can be. Knowing the vocabulary of algebra is a long way toward resolving this often difficult time-to-school-kids theme. We try toLook at some of these specific products and master, so that bother again.

Algebra is essentially two things: constants and variables. A constant is nothing but a number whose value is constant, the value never changes. A variable that is located on the side for a constant whose value varies. The constants and variables in a bewildering variety of ways to be connected together to form all types of simple expressions and, yes, complicated. Acategorize the large number of expressions to give names to some mathematical expressions that meet certain criteria. Let's examine some of us.

That is, as an expression of polynomial algebra are often encountered in a combination of constants and the same variable, so the expression looks like this: a (n) x ^ (n) + a (n-1) x ^ (n -1) + a (n-2) x ^ (n-2) + ... + A (1) x + a (0), in which each of the one (s) 's is a number like 3, 4, or -2, and the symbol "^" means "power."That is, if n is 5, then we increase the variable x to the power 5, then the fourth and downward by 1 each time, until you reach the first and then get the power of 0. (Remember, any expression of power or the number 0 is always 1). Examples of polynomials are not a constant as 2 or 3, each variable of any power, like x ^ 5x ^ 2 or 5, and all combinations of constants and a given variable at different powers. (Remember: In order to classify as a polynomial, we allow only positiveinteger exponents, fractions and negative numbers that are not allowed as an exponent).

Polynomial derived from the Greek word "poly" means many. This polynomial has many terms. We also polynomials binomials-two terms, from "bi" = two, three words, the three concepts of "tri" = three. Examples of binomials (x - 4), (x + 5) and (3x - 4). Examples are trinomial 2x ^ 2 - 3x + 4 2x ^ 2 + ex + 1(Remember that 2x ^ 2 2 x times x times the new medium.)

After understanding the above concepts, we are able to master the progress of specific products and factors, and also see how these come into play in real world applications. Then we are able to recognize these special products and can now be split into its component factors. Stay tuned ...


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