Question

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

Answer 1

It is a factor

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