Look for numbers that multiply to be 14, and add(or subtract) to be 5). In this case you want subtraction, since the x2 is negative. If you cannot figure out the factors, use the quadratic formula:
For ax2 + bx + c:
[-b +/- sqrt(b2 -4ac)] / (2a) = [-5 +/- sqrt(52 -4*(-1)*14)] / (-2) = 5/2 +/- sqrt(81)/2
= 5/2 +/- 9/2 --> 14/2 & -4/2 --> 7 & -2.
so this would factor to (-1)*(x - 7)*(x + 2) = (-x + 7)*(x + 2)
Note that 7*2=14 and 7x - 2x = 5x.
x2 + 5x - 120 can not be factored.
-(x - 7)(x + 2)
5(x2 + x + 1)
x2+5x-14 = (x+7)(x-2) when factored
x2+5x+6 = (x+2)(x+3)
x2-5x+4 = (x-1)(x-4) when factored
x2+5x-6 = (x+6)(x-1) when factored
-(x - 7)(x + 2)
x - 3
You don't factor an equation. You factor an expression.So we'll forget about the "equals 0" for a second, while we factor "x2 plus 5x plus 6".x2 + 5x + 6 = (x + 3) (x + 2).Now, if you want this expression to be equal to zero, that can only happen when 'x' is -2 or -3.
x2-5x+4 = (x-1)(x-4) when factord
(x + 8)(x - 3)