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Given the function 
f(x)=5x^(3)+(2)/(5)x, then what is 
f(x)+2 as a simplified polynomial?
Answer:

Given the function f(x)=5x3+25x f(x)=5 x^{3}+\frac{2}{5} x , then what is f(x)+2 f(x)+2 as a simplified polynomial?\newlineAnswer:

Full solution

Q. Given the function f(x)=5x3+25x f(x)=5 x^{3}+\frac{2}{5} x , then what is f(x)+2 f(x)+2 as a simplified polynomial?\newlineAnswer:
  1. Given function: We are given the function f(x)=5x3+25xf(x) = 5x^3 + \frac{2}{5}x. To find f(x)+2f(x) + 2, we simply add 22 to the given function.\newlinef(x)+2=(5x3+25x)+2f(x) + 2 = (5x^3 + \frac{2}{5}x) + 2
  2. Add 22: Now, we combine like terms. Since there are no other terms like 22 (which is a constant), we just write it next to the given function.\newlinef(x)+2=5x3+(25)x+2f(x) + 2 = 5x^3 + \left(\frac{2}{5}\right)x + 2
  3. Combine like terms: The expression is already simplified, as there are no like terms to combine further. Therefore, the simplified polynomial is: f(x)+2=5x3+(25)x+2f(x) + 2 = 5x^3 + \left(\frac{2}{5}\right)x + 2

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