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Is it possible to factor this problem?
14x(squared)-23x+8
Sorry couldn't find carrot symbol. And factor this as much as possible. Please and thanks.
2 Answers
- L. E. GantLv 77 years agoFavorite Answer
It's usually above the 6...So shift and 6 keys together
Consider the product of the x^2 coefficient and the constant
8 * 14 = 112
look at the factors of 112
8 and 14, but their sum is 22
4 and 28, but sum is 32
2 and 56, their sum is 58
7 and 16, their sum is 23 --- this is the one we're looking for!
Sum, because 8 is +8, and a positive times a positive is positive and negative times a negative is a positive. If the sign of the constant was a negative, we'd loom at the difference.
and because the coefficient in from of the x factor is negative, they both have to be negative (ie -7 and -16)
so: 14x^2 -7x -16x + 8
==> 7x((2x -1) - 8(2x -1)
==> (2x-1)(7x -8)
Multiply out ==> 14x^2 -16x -7x + 8 = 14x^2 - 23x + 8 which is what we started with.