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What is (f−g)(x)(f - g)(x)?\newlinef(x)=−2x2f(x) = -2x^2\newlineg(x)=x2+xg(x) = x^2 + x\newlineWrite your answer as a polynomial or a rational function in simplest form.\newline______

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Full solution

Q. What is (f−g)(x)(f - g)(x)?\newlinef(x)=−2x2f(x) = -2x^2\newlineg(x)=x2+xg(x) = x^2 + x\newlineWrite your answer as a polynomial or a rational function in simplest form.\newline______
  1. Distribute negative sign: Now we distribute the negative sign through the parentheses to remove them and combine like terms.\newline(f−g)(x)=−2x2−x2−x(f - g)(x) = -2x^2 - x^2 - x\newline(f−g)(x)=−3x2−x(f - g)(x) = -3x^2 - x
  2. Simplify to polynomial: We have now simplified the expression to its simplest form, which is a polynomial.\newlineTherefore, the final answer is (f−g)(x)=−3x2−x(f - g)(x) = -3x^2 - x.

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