Factor completely using the trial and error method to factor trinomials. If unfactorable, indicate that the polynomial is prime. -96x² + 56xy + 8y² A) prime B) (24x + 8y)(4x + y) C) 8(3x - y)(4x - y) D) 8(3x + y)(4x + y)

Question

Quizplus · Accepted Answer

The given polynomial can be factored by first factoring out the greatest common factor (GCF), which is 8, resulting in 8(12x^2 + 7xy + y^2). This can then be further factored into 8(3x + y)(4x + y), using the factors of 12x^2 and y^2 that add up to the middle term, 7xy.

Factor Completely Using the Trial and Error Method to Factor