not factorable
Claudia E.
asked 11/14/13Factor x^2 - x - 40
I need help with this please
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Jason S. answered 11/14/13
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This expression does not factor.
The factors of 40 are 1 and 40, 2 and 20, 4 and 10, and 5 and 8.
Since the last term is -40, one of the factors must be positive and one must be negative.
|40-1| = 39
|20-2| = 18
|10-4| = 6
|5-8| = 3
Since none of those = -1, the express is "prime" and can't be factored.
Wendy B. answered 11/14/13
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Math, Sciences, and General Education Instructor
Hi,
To factor x^2 - x - 40, you have to put it into a quadratic formula and solve it that way.
1. x^2 - x - 40 = 0 : quadratic formula = x =[ -b + - (square root of b^2 - 4ac)] all divided by 2a.
2. In this case: a = 1; b = -1; c = -40
so: x = [-(-1) + - (square root of (-1)^2 - 4(1)(-40)] divided by 2(1).
3. x=[1 + - (square root of (1 + 160)] divided by 2
4. x = [1 + - (square root of 161)] divided by 2
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