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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

.
3. The numbers are

and

.
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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Factorize 2x2+11x+12

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

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