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- Set up each synthetic division with the corner number and top row, without dividing.(x^3 - 5x + 2) \div (x + 4)(x^5 - 3x^2) \div (x + 1)(6x^3 + 5x - 1) \div (2x + 1)(7x - x^4) \div (x + 2)
- Divide a cubic by x plus 5 with synthetic division.
- Divide a quartic by x minus 2 with synthetic division.
- Divide a cubic by 3x minus 1 with synthetic division.
- Find the mistake in Layla's tableau for dividing by x plus 2.
- Divide a cubic by x minus 2 twice and interpret the remainders.
- Fill in the smudged entries of a synthetic division and write the divisor, dividend, quotient and remainder.
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Synthetic division: the lesson ›More Chapter 3 worksheets: Polynomial functions
- 3.1Degree, end behavior and the shape of a polynomial graph
- 3.2Cubic, quartic and higher degree functions
- 3.3Proving polynomial identities
- 3.4Polynomial long division
- 3.5Synthetic division
- 3.6The remainder and factor theorems
- 3.7Zeros and multiplicity
- 3.8Graphing polynomial functions
- 3.9The rational root theorem
- 3.10The fundamental theorem of algebra
- 3.11Building a polynomial from its zeros
- 3.12Modeling with polynomial functions
- 3.13Factoring completely and choosing a strategy