Year 12 · Specialist Mathematics

Factorisation of polynomials

Free examples and worked answers. No account needed.

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Practise the method.

Conjugate roots, real factors and remaining roots.

Example 1

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Given root = 9 + 5i
Move an independent trial root and compare it with the given root. Its position is not checked or chosen for you.
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Answer:

Example 2

-10-101010ReImr1r2r3
r1 = 8 + 6ir2 = 8 − 6ir3 = 5 + 0i
Explore the given roots one at a time. Compare their real and imaginary components before forming the coefficient.
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Answer:

Example 3

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Given root = 10 + 9i
Move an independent trial root and compare it with the given root. Its position is not checked or chosen for you.
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Answer: