E-EX04 · A parameter changes the signs but not the shape
Let \(F(x)=(a+2x)^4\), where a is a real constant.
Find the constant, x and \(x^2\) terms in terms of a.
The coefficient of \(x^2\) is 96. Find all possible a.
For each value of a, find all real zeros of F. Explain why \(F(x)\) cannot be negative for real x.
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