Use the Factor Theorem to determine whether the binomial x + 1 is a factor of the polynomial function f (x) = 2x^3-9x^2-13x-6.

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Mathematics

Seth Rowland

24 September, 10:59

Use the Factor Theorem to determine whether the binomial x + 1 is a factor of the polynomial function f (x) = 2x^3-9x^2-13x-6.

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Nathalia Weeks · Answer 1

The factor theorem requires that you plug in the value of x in question and see if the "answer" you get is a 0. If it is, that number is a 0 of the polynomial and if there is a remainder, then it's not a factor. You could also accomplish the same thing by doing synthetic division. When you plug in - 1 to your polynomial you get a result of - 4. That means that x + 1 is not a factor.