Same chapter4 marksDifficulty: Hard
Factorise 2x3 + x2 − 13x + 6 completely.
Factorisation of Polynomials
4 marksDifficulty: Hard
If (x + 1) and (x − 2) are both factors of x3 + ax2 − bx − 6, find a and b.
Original Khojo Papers practice question — not from a past board paper.
Answer
a = 2 and b = 5
No citable source has been recorded for this record. Treat it as practice material, not as fact.
Explanation
f(−1) = −1 + a + b − 6 = 0 gives a + b = 7, and f(2) = 8 + 4a − 2b − 6 = 0 gives 2a − b = −1. Adding the two gives 3a = 6, so a = 2 and b = 5.
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