To factor the quadratic expression x²+11x+18, we need to find two numbers that multiply to 18 and add up to 11, which are 2 and 9. Therefore, we can rewrite the expression as:
x²+11x+18 = (x+2)(x+9)
This is the factored form of the quadratic expression. We can check by expanding the product:
(x+2)(x+9) = x(x+9) + 2(x+9) = x² + 9x + 2x + 18 = x² + 11x + 18
Therefore, (x+2)(x+9) is the correct factorization of x²+11x+18.
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