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Given the function f(x)=5x-4x^(2), then what is -f(x) as a simplified polynomial? Answer:

Given the function f(x)=5x−4x2 f(x)=5 x-4 x^{2} , then what is −f(x) -f(x) as a simplified polynomial?\newlineAnswer:

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Full solution

Q. Given the function f(x)=5x−4x2 f(x)=5 x-4 x^{2} , then what is −f(x) -f(x) as a simplified polynomial?\newlineAnswer:
  1. Multiply by −1-1: To find −f(x)-f(x), multiply each term in f(x)f(x) by −1-1.\newline−f(x)=−(5x)+−(4x2)-f(x) = -(5x) + -(4x^2)
  2. Distribute negative sign: Simplify the expression by distributing the negative sign. −f(x)=−5x−4x2-f(x) = -5x - 4x^2
  3. Rearrange terms: Rearrange the terms in descending order of the exponents. −f(x)=−4x2−5x-f(x) = -4x^2 - 5x

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