Use synthetic division to detemine if x+1 is a factor of f (x) for f (x) x^3-7x^2+8x+16

It is a factor

Step-by-step explanation:

[x³ - 7x² + 8x + 16] : (x + 1)

[x³ + x² - 8x² - 8x + 16x + 16] : (x + 1)

[x² (x + 1) - 8x (x + 1) + 16 (x + 1) ] : (x + 1)

x² - 8x + 16 and tye remainder is 0.

So, yes (x + 1) is a factor