Factor the expression x^2+(x-3)+6

A. x(x+3)

B. x(x-2)

C. x(x+1)

D. x(x+2)

1 answer

To factor the given expression x^2 + (x - 3) + 6, we must find two numbers whose sum is -(x - 3), and whose product is 6 * (x^2 + (x - 3) + 6).

Expanding the expression gives us:
x^2 + x - 3 + 6

Combining like terms, the expression can be simplified to:
x^2 + x + 3

So, the factors are:
(x + 1)(x + 3)

Therefore, the correct answer is C. x(x+1).