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

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Given that x − 3 and 2x + 1 are factors of 2x3 + px2 + (2q − 1)x + q:

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

b.  Explain why x + 2 is also a factor of the expression.

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