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Grade 11 · Algebra 2

Polynomial functions

384 problems in this skill, each with a solver-verified answer key. Answers are checked the moment you submit — with a hint if you want one and a worked solution afterwards.

What the problems look like

A few statements from this skill. Answers, hints and worked solutions live in the practice session.

  1. Warm-up

    A cubic polynomial with real coefficients has zeros x=−3+3ix = -3 + 3i and x=2x = 2. Use the complex conjugate root theorem to identify the third zero, then find the sum of all three zeros.

  2. Warm-up

    A cubic polynomial with real coefficients has zeros x=3+8ix = 3 + 8i and x=9x = 9. Use the complex conjugate root theorem to identify the third zero, then find the sum of all three zeros.

  3. Warm-up

    A cubic polynomial with real coefficients has zeros x=−5+ix = -5 + i and x=6x = 6. Use the complex conjugate root theorem to identify the third zero, then find the sum of all three zeros.

Problems shown under their original terms: Generated (template, solver-computed).

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