Working with the Factor Theorem

Below is the question we considered at the end of our lesson today. Complete this question for our next lesson.

Let \(p(x)=2x^3+ax^2-29x+60\). The polynomial \(p\) is divisible by \((x-3)\).

a) Find \(a\).

b) \(-4\) is also a zero of \(p\). Find the third zero of \(p\).

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