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Expand. Your answer should be a polynomial in standard form. (-f+10)(3f-1)=

Expand.\newlineYour answer should be a polynomial in standard form.\newline(−f+10)(3f−1)=(-f+10)(3f-1)=

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Full solution

Q. Expand.\newlineYour answer should be a polynomial in standard form.\newline(−f+10)(3f−1)=(-f+10)(3f-1)=
  1. Simplify each term: Now, we will simplify each term.−f(3f)=−3f2-f(3f) = -3f^2 (Multiplying −f-f by 3f3f)−f(−1)=f-f(-1) = f (Multiplying −f-f by −1-1)10(3f)=30f10(3f) = 30f (Multiplying 1010 by 3f3f)10(−1)=−1010(-1) = -10 (Multiplying 1010 by −1-1)
  2. Combine simplified terms: Combine the simplified terms to get the polynomial in standard form.\newline(−f+10)(3f−1)=−3f2+f+30f−10(-f+10)(3f-1) = -3f^2 + f + 30f - 10
  3. Combine like terms: Combine like terms to get the final answer.\newline−3f2+f+30f−10=−3f2+(f+30f)−10-3f^2 + f + 30f - 10 = -3f^2 + (f + 30f) - 10\newline−3f2+31f−10-3f^2 + 31f - 10

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