Same chapter3 marksDifficulty: Hard
Find the remainder when x3 + 3x2 − 5x + 4 is divided by (2x − 1).
Factorisation of Polynomials
4 marksDifficulty: Hard
Factorise 2x3 + x2 − 13x + 6 completely.
Original Khojo Papers practice question — not from a past board paper.
Answer
(x − 2)(2x − 1)(x + 3)
No citable source has been recorded for this record. Treat it as practice material, not as fact.
Explanation
f(2) = 16 + 4 − 26 + 6 = 0, so (x − 2) is a factor. Dividing gives 2x2 + 5x − 3, which factorises as (2x − 1)(x + 3).
Related questions
From the same topic and chapter, at a similar level.
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Show that (x − 3) is a factor of x3 − 2x2 − 5x + 6.
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