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Fundamental Theorem of Algebra

Grade 11

What this lesson shows

A polynomial of degree 9. How many roots does it have? Not "how many can you find" — how many ARE there?

Try it yourself

Real questions from this lesson's worksheets — answers below each one.

  1. By the Fundamental Theorem of Algebra, a degree-2 polynomial has exactly how many roots (counting multiplicity)?
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    2
  2. How many roots (with multiplicity) does x² + 2x - 3 = 0 have?
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    2
  3. A polynomial of degree 3 has at most how many turning points?
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    2
  4. A degree-2 polynomial has 2 roots in total, and 0 of them are real. How many of its roots are NOT real numbers?
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    2

Practise this every day

Eduyro gives your child a short daily worksheet on exactly this skill, and moves them on only once they have it. Watch the lesson, then build the fluency.

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