SOLUTION: Use the ac test to determine if the following trinomial can be factored. If it can be factored, find the values of m and n. 3x^2+11x-4

Algebra ->  Expressions -> SOLUTION: Use the ac test to determine if the following trinomial can be factored. If it can be factored, find the values of m and n. 3x^2+11x-4      Log On


   



Question 90791: Use the ac test to determine if the following trinomial can be factored. If it can be factored, find the values of m and n. 3x^2+11x-4
Answer by stanbon(75887) About Me  (Show Source):
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Use the ac test to determine if the following trinomial can be factored. If it can be factored, find the values of m and n. 3x^2+11x-4
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AC = 3*-4 = -12
b = 11
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Think of two numbers whose product is -12 and whose sum is 11
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The numbers are -12 and +1
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Rewrite the problem, as follows: 3x^2+12x-x-4
Factor the 1st two and the last two terms separaely:
3x(x+4)-(x+4)
Factor again:
(x+4)(3x-1)
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Cheers,
Stan H.