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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
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