Question

Determine if the binomial (x+3) is a factor of the polynomial P(x) = x^3 + x^2 - x+6. Explain using a theorem.

Answer 1

(x+3) is not a factor of x³+x²-x+6

1) In this question, we can use The Factor Theorem that states:

2) So let's divide that given Polynominal by that binomial, if we have an exact division then (x+3) is a factor of that Polynomial.

Note that since this is not an exact division then we can conclude that

3) (x+3) is not a factor of x³+x²-x+6