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Is x + 1 a factor of the function f(x) = 2x^3 - 3x^2 + 7x + 12? Explain.
x+1 is a factor of f(x) because [tex]f(x)=(x+1)(2x^2-5x+12)[/tex], which can be easily found via polynomial division or some other strategy. Because [tex]f(x)=(x+1)(p(x))[/tex], where p(x) is a polynomial without remainder, x+1 is a factor of f(x).
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