a. Show that (2x 1) is a factor of 2x 3 7x 2 17x

Question:

a. Show that (2x − 1) is a factor of 2x3 − 7x2 − 17x + 10.

b. Factorise 2x3 − 7x2 − 17x + 10 completely.

c. Hence, or otherwise, sketch the graph of y = 2x3 − 7x2 − 17x + 10, labelling any intersections with the coordinate axes clearly.

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