Answers

2014-08-21T06:38:55+08:00
For a binomial, check to see if it is any of the following: difference of squares: x 2 – y 2 = ( x + y) ( x – y) difference of cubes: x 3 – y 3 = ( x – y) ( x 2 + xy + y 2) sum of cubes: x 3 + y 3 = ( x + y) ( x 2 – xy + y 2) For a trinomial, check to see whether it is either of the following forms: x 2 + bx + c: If so, find two integers whose product is c and whose sum is b. For example, x 2 + 8 x + 12 = ( x + 2)( x + 6) since (2)(6) = 12 and 2 + 6 = 8 ax 2 + bx + c: If so, find two binomials so that the product of first terms = ax 2 the product of last terms = c the sum of outer and inner products = bx See the following polynomial in which the product of the first terms = (3 x)(2 x) = 6 x 2, the product of last terms = (2)(–5) = –10, and the sum of outer and inner products = (3 x)(–5) + 2(2 x) = –11 x. For polynomials with four or more terms, regroup, factor each group, and then find a pattern as in steps 1 through 3.

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2014-08-21T09:30:14+08:00
There are 7 Factoring Techniques. This are Factoring using CMF (Common Monomial Factor), Difference of Two Squares (DOTS), Difference of Two cubes (DOTC), Perfect Square Trinomial (PST), Non-Perfect Square Trinomial (with 1 as a leading coefficient), Non-Perfect Square Trinomial (with greater than 1 as a leading coefficient), and the Grouping
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For a binomial, check to see if it is any of the following: difference of squares: x 2 – y 2 = ( x + y) ( x – y) difference of cubes: x 3 – y 3 = ( x – y) ( x 2 + xy + y 2) sum of cubes: x 3 + y 3 = ( x + y) ( x 2 – xy + y 2) For a trinomial, check to see whether it is either of the following forms: x 2 + bx + c: If so, find two integers whose product is c and whose sum is b. For example, x 2 + 8 x + 12 = ( x + 2)( x + 6) since (2)(6) = 12 and 2 + 6 = 8 ax 2 + bx + c: If so, find two binomials s