The coefficient of x^3 in the expansion of (2+x)(3-ax)^4 is 30. Find the three possible values of the constant a.
Added by Jason C.
Step 1
We know that this coefficient is equal to 30, so we can set up the equation: 12a^3 - 54a^4 = 30 Simplifying this equation, we get: 2a^3 - 9a^4 = 5 Now we need to find the possible values of a that satisfy this equation. We can start by trying some values: - Show more…
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