Answer:
(x-2)(x+8)
Step-by-step explanation:
First, x^2 turns into (x )(x )
Next, find the factors of 16, and find which two could be added or subtracted to equal the middle number. The factors for this problem are 2 and 8 since they multiply to equal the last number (8 * 2 = 16) and also can be added/subtracted to equal the middle number (8 - 2 = 6). So far, we have (x 2) (x 8).
Finally, we need to determine the sign. The 6x is positive in this problem, which means the greater number of 2 and 8 needs to be positive, while the smaller number needs to be negative (8 - 2 = 6).
Therefore, the final answer is:
(x - 2) (x + 8)
To check your answer, FOIL out (first, outer, inner, last)
x^2 + 8x - 2x - 16 , which simplifies to x^2 + 6x - 16
