it is below 555 and above 200
* * * * *
x3 - 2x2 + 35x = x*(x2 - 2x - 35) = x*(x + 5)*(x - 7)
x3 - 12x2 + 35x = x (x2 - 12x + 35) = x (x - 7) (x - 5)
14x2 + 29x - 15= 14x2 + 35x - 6x - 15= 7x(2x + 5) - 3(2x + 5)= (2x + 5)(7x - 3)
x(x + 5)(x - 7)
x3 + 2x2 - 35x = x(x + 7)(x - 5)
x3 - 12x2 + 35x = x(x2 - 12x + 35) = x(x - 5)(x - 7)
x3 - 12x2 + 35x = x (x2 - 12x + 35) = x (x - 7) (x - 5)
Factor out an X X(X^2 - 12X + 35) factor quadratic equation X(X - 7)(X - 5) ------------------- fully factored
x3 + 2x2 - 35x = x(x2 + 2x - 35) = x(x + 7)(x - 5)
5(x - 5)(x - 2)
14x2 + 29x - 15= 14x2 + 35x - 6x - 15= 7x(2x + 5) - 3(2x + 5)= (2x + 5)(7x - 3)
35x
x^(3) - 12x^(2) + 35 x Factor out 'x' Hence x(x^(2) - 12x + 35) Factor the quadratic x(x - 5)(x - 7) Done!!!!!
35x + 15x = 50x
35x + 115 = 360 35x = 360-115 35x = 245 x = 245/35 x = 7