book Maths Puzzle Numerical Ability

I'm not sure how to divive using long division with polynomials. Could someone help me with this Thanks.
Use long division to reduce (6x^5 - 5x^4 - 6x^3 - 10x^2 + 21x - 9)/(2x - 3

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book Other Question

Identify the shape of the graph, transform it into standard form, and sketch the graph.
x^2 + y^2 - 14x - 6y -42 = 0
Solve for x

2x-9/x-5 = 1/x-5

/ indicates fraction