SOLUTION: Here is another problem that my answer does not make sense....Please help me Use the ac test to determine which of the following trinominals can be factored. Find the values of

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Question 44819: Here is another problem that my answer does not make sense....Please help me
Use the ac test to determine which of the following trinominals can be factored. Find the values of m and n for each trinominal that can be factored.
x^2-3x + 7

Answer by mbarugel(146)   (Show Source): You can put this solution on YOUR website!
Hello!
In your trinomial

We have that a = 1, b= -3 and c = 7. The ac test consists of checking whether there are two numbers whose produce is equal to a*c and whose sum is equal to be.
In your case, ac = 1*7 = 7. Since 7 is a prime number, the only pair of numbers whose product is 7 is 1 and 7, or -1 and -7.. In either case, their sum is NOT equal to -3 (1 + 7 = 8 and -1 + (-7) = -8).
We conclude that this trinomial cannot be factored.

I hope this helps!
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