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Write a polynomial of least degree with roots 1-1 and 4-4.\newlineWrite your answer using the variable xx and in standard form with a leading coefficient of 11.\newline______

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Q. Write a polynomial of least degree with roots 1-1 and 4-4.\newlineWrite your answer using the variable xx and in standard form with a leading coefficient of 11.\newline______
  1. Identify root 1-1: The factor for the root 1-1 is (x(1))(x - (-1)) or (x+1)(x + 1).
  2. Identify root 4-4: The factor for the root 4-4 is (x(4))(x - (-4)) or (x+4)(x + 4).
  3. Multiply factors: Now, multiply the factors to get the polynomial: (x+1)(x+4)(x + 1)(x + 4).
  4. Perform multiplication: Perform the multiplication: x(x+4)+1(x+4)=x2+4x+x+4x(x + 4) + 1(x + 4) = x^2 + 4x + x + 4.
  5. Combine like terms: Combine like terms: x2+4x+x+4=x2+5x+4x^2 + 4x + x + 4 = x^2 + 5x + 4.

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