What method(s) would you choose to solve the equation? Explain your reasoning.
x^2 +5x +6 =0
a
Square roots; there is no x-term.
b
Factoring; the equation is easily factored.
c
Quadratic formula, graphing; the equation cannot be factored easily since the numbers are large.
d
Quadratic formula, completing the square or graphing; the coefficient of x2-term is 1, but the equation cannot be factored.
The correct choice to solve the equation x^2 +5x +6 =0 is choice b: Factoring; the equation is easily factored.
The equation x^2 +5x +6 =0 can be easily factored into (x+2)(x+3) = 0. Therefore, the solutions for x are x = -2 and x = -3.