6x^2 - 7x - 3
Multiply the first and last coefficients: 6*(-3) = -18
Since this is negative you need two factor of 18 whose difference is the middle coefficient: -7. The factors are 2 and 9. The larger of these has the same sign as the middle coeff and the smaller has the opposite sign. Thus -9 and +2.
So the expression can be written as
= 1/6*(6x - 9)*(6x + 2) = 1/6*3*(2x - 3)*2*(3x + 1) = (2x - 3)*(3x + 1).
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6x2 + 11x + 3 = 6x2 + 9x + 2x + 3 = 3x(2x + 3) + 1(2x + 3) = (2x + 3)(3x + 1)
(10x + 3)(x - 1)
If you mean: x squared -7x +12 then it is (x-3)(x-4) when factored
6x2-5x-25 = (3x+5)(2x-5) when factored
Alright, buckle up, buttercup. To factor the expression 7x + 21 - 14y, you first want to look for common factors within the terms. In this case, you can factor out a 7 from all the terms, leaving you with 7(x + 3 - 2y). And there you have it, all factored and ready to roll.