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Polynomials & Factoring Worksheet

Algebra 2 Math · printable worksheet (PDF) with answer key · 15 problems · CCSS HSA.APR.A.1, HSA.SSE.A.2

A printable algebra 2 polynomials & factoring practice worksheet with 15 problems and a complete, step-by-step answer key — formatted to print cleanly on standard paper. Included in the one-time $20 unlock for the full NudgeLearn library.

Sample problems

Perform each operation and write polynomials in standard form. Factor completely over the integers, including by grouping and with the sum/difference of cubes. Show your work in the space provided.

1. $(4 x^{3} - 2 x^{2} + 5) + (x^{3} + 6 x^{2} - 3 x)$ . Write in standard form.
2. $(5 x^{3} + x^{2} - 4 x + 7) - (2 x^{3} - 3 x^{2} + 4 x - 1)$ .
3. Multiply: $(2 x - 3) (x^{2} - 4 x + 5)$ . Write in standard form.
4. Expand: $(x + 4)^{3}$ . Write in standard form.

Plus 11 more problems and a full answer key in the PDF.

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