Q7 (i) When divided by x - 3 the polynomials x³ - px² + x +6 and : 2x³ - x³ - (p + 3) x — 6 leave the same remainder. Find the value of ‘p’.
(ii) Find ‘a’ if the two polynomials ax³ + 3x² — 9 and 2x³ + 4x + a, leaves the same remainder when divided by x + 3.
(iii) The polynomials ax³ + 3x² — 3 and 2x³ — 5x + q when divided by x - 4 leave the remainder r₁ and r₂ respectively. If 2r₁ = r₂ then find the value of a.

Solution

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