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aspa simple

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18:07 Apr 29, 2005
Spanish to English translations [PRO]
Science - Mathematics & Statistics / mathematic
Spanish term or phrase: aspa simple
término usado en un curso de matemática

Summary of answers provided
5 +1simple factoring
Jane Lamb-Ruiz
3method of factoring

Discussion entries: 1



20 mins   confidence: Answerer confidence 3/5Answerer confidence 3/5
method of factoring


Local time: 13:34
Native speaker of: Native in EnglishEnglish
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27 mins   confidence: Answerer confidence 5/5 peer agreement (net): +1
simple factoring

as shown below:
Simple factoring
Trinomials are algebraic expressions consisting of three unlike terms, such as x2 + 3x + 2. They can be factored using the "FOIL" technique. You factor the expression by using two sets of parentheses, each consisting of two terms, where the first, outside, inside, and last numbers of both sets multiplied together and added equal the trinomial. E.g.,

x2 + 5x + 6
is equivalent to

(x + 3)(x + 2).
Firsts (x times x) + Outsides (x times 2) + Insides (3 times x) + Lasts (3 times 2) = The trinomial (x2 + 5x + 6).

The last numbers in each set of parenthesis have another relationship. When multiplied together, they always equal the last number (3 times 2 equals 6), and when added, they equal the coefficient of the variable (3 plus 2 equals 5). The coefficient is the number in front of the variable that you multiply it by. This is because they're both multiplied by the variable, and then added.

Two variables
Sometimes, you get expressions such as: 3x2 + 8xy + 4y2. In this situation, the factored form will look like: (3x + 2y)(x + 2y). 3x times x is 3x2, 3x times 2y is 6xy, 2y times x is 2xy, and 2y times 2y is 4y2. This time, the coefficients of x have to be multiplied with the coefficient of x2, and same with x.

Depending on whether the numbers are added or subtracted, you may need to use different symbols in the parenthesis.

If you add the mx and add the b, the symbols are both plus.
If you add the mx and subtract the b, the symbols are one plus and one minus.
If you subtract the mx and add the b, the symbols are both minus
If you subtract the mx and subtract the b, the symbols are one plus and one minus.

Jane Lamb-Ruiz
Native speaker of: Native in EnglishEnglish, Native in PortuguesePortuguese
PRO pts in category: 12

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