SME
Grade 11 Math

Polynomial equations: sums and differences of cubes, rational roots and the fundamental theorem of algebra

The main lesson, then each kind of problem it solves.

Polynomial equations: sums and differences of cubes, rational roots and the fundamental theorem of algebra

Main lesson
A polynomial from its zeros
Use this for “Write the polynomial of least degree with zeros 1 and 2 + 3i.”
Equations in quadratic form
Use this for “Solve x⁴ − 13x² + 36 = 0” when every root is real.
Sum and difference of cubes
Use this for “Factor 27x³ + 8” or “Factor x³ − 125.”
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