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Write a polynomial of least degree with roots 22 and 3-3.\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 22 and 3-3.\newlineWrite your answer using the variable xx and in standard form with a leading coefficient of 11.\newline______
  1. Find linear factor root 22: Find the linear factor for the root 22; the factor is (x2)(x - 2).
  2. Find linear factor root 3-3: Find the linear factor for the root 3-3; the factor is (x+3)(x + 3).
  3. Multiply factors for polynomial: Multiply the factors to get the polynomial: (x2)(x+3)(x - 2)(x + 3).
  4. Perform multiplication: Perform the multiplication: x×x+x×32×x2×3x \times x + x \times 3 - 2 \times x - 2 \times 3.
  5. Combine like terms: Combine like terms: x2+3x2x6x^2 + 3x - 2x - 6.
  6. Simplify expression: Simplify the expression: x2+x6x^2 + x - 6.

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