Question

Is x + 1 a factor of the function f(x) = 2x^3 - 3x^2 + 7x + 12? Explain.

Answer 1

Yes

Explanation:

x+1 is a factor of f(x) because
`f(x)=(x+1)(2x^2-5x+12)`, which can be easily found via polynomial division or some other strategy. Because
`f(x)=(x+1)(p(x))`, where p(x) is a polynomial without remainder, x+1 is a factor of f(x).