The Remainder and Factor Theorems (Algebra 2)
Free printable Algebra 2 algebra worksheet applying the Remainder Theorem to find a remainder by evaluation and the Factor Theorem to test for a factor of a polynomial.
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Algebra 2 · Math worksheet
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Algebra 2: The Remainder and Factor Theorems
Apply the Remainder Theorem to find a remainder by evaluation, and the Factor Theorem to test whether a linear expression is a factor.
- 1.Use the Remainder Theorem to find the remainder when P(x) = x³ + 5x² + 4 is divided by (x + 4).
- 2.Use the Remainder Theorem to find the remainder when P(x) = x³ - x² + 7x - 3 is divided by (x + 3).
- 3.Use the Remainder Theorem to find the remainder when P(x) = x³ + 8x² + 9x - 1 is divided by (x - 2).
- 4.Use the Remainder Theorem to find the remainder when P(x) = -2x³ - 8x² - 7x + 5 is divided by (x + 4).
- 5.Use the Factor Theorem to decide whether (x + 4) is a factor of P(x) = x³ + 6x² + 8x.
- 6.Use the Factor Theorem to decide whether (x + 4) is a factor of P(x) = -4x³ + 2x² - 7x - 1.
- 7.Use the Factor Theorem to decide whether (x - 4) is a factor of P(x) = -x⁴ + x³ + 18x² - 21x - 12.
- 8.Use the Factor Theorem to decide whether (x - 2) is a factor of P(x) = -3x⁴ + 2x³ + 5x² + 7x - 1.
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