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Find the roots of the factored polynomial.\newline(x−4)(x+9)(x - 4)(x + 9)\newlineWrite your answer as a list of values separated by commas.\newlinex=x = ____

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Q. Find the roots of the factored polynomial.\newline(x−4)(x+9)(x - 4)(x + 9)\newlineWrite your answer as a list of values separated by commas.\newlinex=x = ____
  1. Set up equation: question_prompt: Find the roots of the polynomial (x−4)(x+9)(x - 4)(x + 9).
  2. Solve for xx (11): Set the factored polynomial equal to zero: (x−4)(x+9)=0(x - 4)(x + 9) = 0.
  3. Solve for xx (22): Solve for xx when the first factor is zero: x−4=0x - 4 = 0.
  4. List the roots: Add 44 to both sides: x=4x = 4.
  5. List the roots: Add 44 to both sides: x=4x = 4. Solve for xx when the second factor is zero: x+9=0x + 9 = 0.
  6. List the roots: Add 44 to both sides: x=4x = 4. Solve for xx when the second factor is zero: x+9=0x + 9 = 0. Subtract 99 from both sides: x=−9x = -9.
  7. List the roots: Add 44 to both sides: x=4x = 4. Solve for xx when the second factor is zero: x+9=0x + 9 = 0. Subtract 99 from both sides: x=−9x = -9. List the roots: x=4,−9x = 4, -9.

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