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Your answer should be a polynomial (x2+11x+18)/(x+2)(x^2+11x+18)/(x+2)

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Full solution

Q. Your answer should be a polynomial (x2+11x+18)/(x+2)(x^2+11x+18)/(x+2)
  1. Factorize the numerator: Step 11: Factorize the numerator.\newlineThe numerator x2+11x+18x^2 + 11x + 18 can be factored by finding two numbers that multiply to 1818 and add to 1111. These numbers are 99 and 22.\newlineSo, x2+11x+18=(x+9)(x+2)x^2 + 11x + 18 = (x + 9)(x + 2).
  2. Simplify by canceling common factors: Step 22: Simplify the expression by canceling out common factors.\newlineThe expression becomes (x+9)(x+2)(x+2)\frac{(x + 9)(x + 2)}{(x + 2)}.\newlineSince (x+2)(x + 2) is a common factor in the numerator and the denominator, we can cancel it out, as long as x≠−2x \neq -2 (to avoid division by zero).\newlineThis simplifies to x+9x + 9.

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