Factor the given polynomial completely. If the polynomial is prime, say so. x³+ xy + 2x² + 2y A) The polynomial is prime. B) (x + 2)(x² + y) C) (x + 2)(x + y) D) (x² + 2)(x + y)

Question

Quizplus · Accepted Answer

We notice that the polynomial has a common factor of (x + 2). Then we can factor out (x + 2) from the polynomial to get: (x + 2)(x² + y + 2) This cannot be factored any further, so the answer is (x + 2)(x² + y), which is choice B.

Factor the Given Polynomial Completely