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

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Question 125855: 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):
You can put this solution on YOUR website!
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 test: Think of two numbers whose product is 3*-4 = =12
and whose sum = 11
The numbers are 12 and -1
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Rewrite the polynomial:
3x^2+12x-x-4
Factor:
3x(x+4)-(x+4)
Factor again:
(x+4)(3x-1)
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Cheers,
Stan H.