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Dirsections: Sinclity each pohnomial. " 7. "(2x^(2)+3x-2)-(x^(2)-4x-1)

Dirsections: Sinclity each pohnomial.\newline 7. (2x2+3x−2)−(x2−4x−1) \text { 7. }\left(2 x^{2}+3 x-2\right)-\left(x^{2}-4 x-1\right)

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Q. Dirsections: Sinclity each pohnomial.\newline 7. (2x2+3x−2)−(x2−4x−1) \text { 7. }\left(2 x^{2}+3 x-2\right)-\left(x^{2}-4 x-1\right)
  1. Subtract and Change Signs: Subtract the second polynomial from the first one by changing the signs of the second polynomial and combining like terms.\newline(2x2+3x−2)−(x2−4x−1)=2x2+3x−2−x2+4x+1(2x^2 + 3x - 2) - (x^2 - 4x - 1) = 2x^2 + 3x - 2 - x^2 + 4x + 1
  2. Combine Like Terms: Combine like terms: 2x2−x22x^2 - x^2, 3x+4x3x + 4x, and −2+1-2 + 1.\newline2x2−x2=x22x^2 - x^2 = x^2\newline3x+4x=7x3x + 4x = 7x\newline−2+1=−1-2 + 1 = -1
  3. Write Simplified Polynomial: Write down the simplified polynomial. x2+7x−1x^2 + 7x - 1

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