![]() This lesson has been accessed 2795 times. This technique will work with any factorable trinomial, and is a much easier method than factoring the standard way when the leading coefficient of the trinomial is not 1. Answer: 2 on a question In factoring a trinomial with a leading coefficient other than 1, the first step is to look for a factor in each term and factor it out. Using step 4, we would place 2 in front of the x in the first parenthesis, and 2 in front of the x in the second parenthesis: ![]() STEP 4: Place the denominators (if any) of the number inside each parenthesis and place them in front of the variable inside each parenthesis. ![]() Using step 3, 6 in the first parenthesis will be divided by the original constant-which is 4-and the -2 in the second parenthesis will be divided by the original constant as well, which, again, is 4: STEP 3: Divide the numbers inside the resulting factors by the original constant. Using step 2, can be factored as, because 6 x -2 = -12, and 6 + -2 = 4. STEP 2: Factor the rewritten trinomial by finding two factors of the constant that multiply together to give you that constant, and add together to give you the number in front of x. In the example above, the leading coefficient is 4 and the constant is -3. STEP 1: Rewrite the trinomial by removing the leading coefficient and multiplying that coefficent by the constant. This lesson will show you how to factor a trinomial when the leading coefficient (the number in front of x^2) is not 1.
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