10 Questions Algebra: Dividing Polynomials Determine the quotient of a polynomial of degree three or two when divided by a polynomial of degree one. Apply the remainder theorem. Based on high school Common Core standards... If x³ + 9x + 5 is divided by x, what is the result? quotient = x², remainder = 9x + 5 quotient = x² − 9, remainder = 5 quotient = x² + 9x, remainder = 5 quotient = x² + 9, remainder = 5 When a polynomial p(x) is divided by x − a, what is the remainder? p(−a) p(a) −p(a) Divide 3x² − 6x − 25 by x + 2. quotient = 3x + 12, remainder = −1 quotient = 3x, remainder = −25 quotient = 3x − 12, remainder = 1 quotient = 3x − 12, remainder = −1 and 7 more awesome questions! Check them out by clicking “Play”.