book Maths Puzzle Numerical Ability

please help me do this problem B+6

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Can someone please help me in solving this problem.
Thanks.
Use long division to reduce (6x^5 - 5x^4 - 6x^3 - 10x^2 + 21x - 9)/(2x - 3). Could you please explain what a linear factor is and how it works in this equation?
2x^2 - x - 6

Thank you
Michael G.