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What's on the worksheet
- Factor completely, taking out the greatest common factor first:6t^2 - 6t - 722x^3 - 50x-2y^2 - 24y - 724n^2 + 10n - 63m^2 - 6mn - 45n^2
- Factor completely or say it is prime, and name the method used:x^2 - 6x - 128w^3 - 18w49 + 14t + t^2x^3 + 3x^2 + 4x + 1210x^2 + 11x + 3
- Say whether each claimed factoring is correct and complete, and finish where it falls short.6x^2 - 24 = (3x + 6)(2x - 4)x^4 - 81 = (x^2 + 9)(x + 3)(x - 3)2x^2 - 8x + 8 = 2(x - 2)(x + 2)4x^3 - 4x = 4x(x^2 - 1)x^3 + 4x^2 - 5x = x(x + 5)(x - 1)
- Word problem: factor the total area of identical square mosaic tiles and find one tile's side.
- Factor a fourth-degree difference completely and explain why a factor is prime.
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Factoring completely and choosing a strategy: 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