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

Question:

a. Show that (x − 3) is a factor of 2x3 − 2x2 − 17x + 15.

b. Hence express 2x3 − 2x2 − 17x + 15 in the form (x − 3)(Ax2 + Bx + C), where the values A, B and C are to be found.

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