Math  /  Algebra

QuestionGiven the function f(x)=4(2x)(2+x)23(x1) f(x) = 4(2-x)(2+x)^2 - 3(x-1)
The user took a picture with their phone and the text was extracted above. The user then had a dialogue with an AI Assistant to help clarify the instructions.
Dialogue Transcript:
Hi there! I see you have the function f(x)=4(2x)(2+x)23(x1) f(x) = 4(2-x)(2+x)^2 - 3(x-1) . How can I assist you with this function? Are you looking to find the derivative, solve for x x , find the maximum or minimum, or something else? Let me know so I can help you further! Can you turn into standard form

Studdy Solution
Combine like terms to get the final polynomial form.
f(x)=32+16x3x+38x24x3 f(x) = 32 + 16x - 3x + 3 - 8x^2 - 4x^3 f(x)=4x38x2+13x+35 f(x) = -4x^3 - 8x^2 + 13x + 35
The standard form of the function f(x) f(x) is:
f(x)=4x38x2+13x+35 f(x) = -4x^3 - 8x^2 + 13x + 35

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