Same chapter1 markDifficulty: Medium
If (x + 2) is a factor of f(x), then:
Factorisation of Polynomials
4 marksDifficulty: Medium
Factorise x3 − 6x2 + 11x − 6 completely.
Original Khojo Papers practice question — not from a past board paper.
Answer
(x − 1)(x − 2)(x − 3)
No citable source has been recorded for this record. Treat it as practice material, not as fact.
Explanation
f(1) = 1 − 6 + 11 − 6 = 0, so (x − 1) is a factor. Dividing gives x2 − 5x + 6, which factorises as (x − 2)(x − 3).
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Show that (x − 3) is a factor of x3 − 2x2 − 5x + 6.
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