Given that x 1 and x + 2 are factors of x 4 x 3

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Given that x − 1 and x + 2 are factors of x4 − x3 + px2 − 11x + q:

a.  Find the value of p and the value of q.

b.  When p and q have these values, factorise x4 − x3 + px2 − 11x + q completely.

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