SOLUTION: When we factor a problem like X^2+5x+6, we get two sets of parenthesis, (x + 3) (x + 2). Why do we separate our factoring with these parenthesis? Does this have anything to do wit

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: When we factor a problem like X^2+5x+6, we get two sets of parenthesis, (x + 3) (x + 2). Why do we separate our factoring with these parenthesis? Does this have anything to do wit      Log On


   

Question 436399: When we factor a problem like X^2+5x+6, we get two sets of parenthesis, (x + 3) (x + 2). Why do we separate our factoring with these parenthesis? Does this have anything to do with being able to solve the problem?
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
It separates because the polynomial can be expressed as a product. We use parentheses so it doesn't look like

x + 3 * x + 2

which is ambiguous (and actually equals x + 3x + 2 by order of operations). To find the roots, we can set both equations to zero, as the entire expression must be 0. Hence, either x+3 = 0 or x+2 = 0, which implies x = -3 or -2.