Question

How do i factor x^2 + x - 56

Answer 1

Use the quadratic formula to find the roots.
Suppose they are \(r_1, r_2\)
Then write as: \[
(x-r_1)(x-r_2)
\]

Answer 2

Quadratic formula is: \[
\frac{-b\pm\sqrt{b^2-4ac}}{2a}
\]

Answer 3

either r1 or r2 would be positive and the other negative

Answer 4

Think about the factors of 56 that when added will give you the center term. 8 and 7 meet this criteria. and we need them to add to 1 to this will be 8 and -7.
(x+8)(x-7)