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Factorize 2x2+11x+12

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Answer to a math question Factorize 2x2+11x+12

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1. Identify the quadratic expression: 2x^2 + 11x + 12.
2. To factor, seek two numbers whose product is 2 \cdot 12 = 24 and sum is 11.
3. The numbers are 3 and 8.
4. Rewrite the middle term using these numbers: 2x^2 + 3x + 8x + 12.
5. Group terms: (2x^2 + 3x) + (8x + 12).
6. Factor out the greatest common factor in each group: x(2x + 3) + 4(2x + 3).
7. Factor by grouping: (x + 4)(2x + 3).
8. The factorized form is (x + 4)(2x + 3).

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