a. Given that x 3 x 2 17x 15 = (x + 3)(x 2

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a. Given that x3 − x2 − 17x − 15 = (x + 3)(x2 + bx + c), where b and c are constants, work out the values of b and c.

b. Hence, fully factorise x3 − x2 − 17x − 15.

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