Same chapter1 markDifficulty: Medium
If (x + 2) is a factor of f(x), then:
Factorisation of Polynomials
2 marksDifficulty: Medium
Show that (x − 3) is a factor of x3 − 2x2 − 5x + 6.
Original Khojo Papers practice question — not from a past board paper.
Answer
f(3) = 0, so (x − 3) is a factor.
No citable source has been recorded for this record. Treat it as practice material, not as fact.
Explanation
f(3) = 27 − 18 − 15 + 6 = 0. By the factor theorem a zero remainder means (x − 3) divides the polynomial exactly.
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