Trinomial+Where+A+is+not+Equal+to+One

=__Trinomials Where A is not Equal to One__=

__How to Factor a Trinomial in which A is not equal to One__
Ax 2 +Bx+C __Guess and Check Method__ __Factor by Grouping Method__
 * 1) The first terms of your binomials must multiply together to be Ax 2
 * 2) Use your use of signs from previous factoring to determine the signs of the binomials.
 * 3) Find two factors of the C term which will make your binomials true.
 * Multiply A and C.
 * For example if you have the trinomial 2x 2 +7x+6, 2 times six is 12
 * Find two factors of the number you get in step one, that when added together equal B.
 * Two factors of 12 that add up to be 7 are 3 and 4
 * Split your B term into those two factors.
 * Now your trinomial becomes 2x 2 +4x+3x+6
 * Group the first two terms and the last two terms together.
 * So our expression is written as (2x 2 +4x)+(3x+6)
 * Factor A GCF out of each. Note if you do not know how to factor out a GCF please see our page on Greatest Common Factors.
 * So we will have 2x(x+2)+3(x+2)
 * Use those GCFs to create one of your binomials.
 * So one of our factored binomials will be (2x+3)
 * Use the remaining terms to create the other binomial.
 * The other will be (x+2). Our final answer will be (2x+3)(x+2)

Examples: 2x 2 -7x+6 __Geuss and Check Method__ __Factor by Grouping Method__ 3x 2 -4x-20 __Geuss and Check Method__ __Factor by Grouping Method__
 * 1) (2x _)(x _)
 * 2) (2x-_)(x-_)
 * 3) (2x-3)(x-2)
 * 1) 2 times 6 is 12
 * 2) -3 and -4
 * 3) 2x 2 -3x-4+6
 * 4) (2x 2 -3x)(-4x+6)
 * 5) x(2x-3) + -2(2x-3)
 * 6) (x-3)
 * 7) (x-2)(2x-3)
 * 1) (3x_)(x_)
 * 2) (3x-_)(x+_)
 * 3) (3x-10)(x+2)
 * 1) 3 times 20 equals 60
 * 2) -10 and 6
 * 3) 3x 2 -10x+6x-20
 * 4) (3x 2 -10x)(6x-20)
 * 5) x(3x-10) + 2(3x-10)
 * 6) (x+2)
 * 7) (x+2)(3x-10)

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