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Can Someone Please Help Me Factor (x^(2)+6x+58)

1 Answer

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The last term is 58. List out the ways to multiply two whole numbers to get to 58

1*58 = 58
2*29 = 58
(-1)*(-58) = 58
(-2)*(-29) =58

Then go through those factors and see which two values add to 6 (which is the middle number in the given expression)

1+58 = 59
2+29 = 31
-1+(-58) = -59
-2+(-29) = -31

None of those sums are 6, so the original expression cannot be factored. It is said to be prime.
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User Eskil
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