x²+11x+18
(x+9)(x+2)
To factor the expression x²+11x+18, we need to find two numbers whose sum is 11 and whose product is 18. These numbers are 2 and 9.
We then rewrite the expression as follows:
x²+2x+9x+18
We can now factor this expression by grouping the first two terms together and the last two terms together:
x(x+2)+9(x+2)
Notice that we can now factor out the common factor of (x+2), which leaves us with:
(x+2)(x+9)
Therefore, the factored form of the expression x²+11x+18 is (x+2)(x+9).
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