Question
Factorize 2x2+11x+12
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Answer to a math question Factorize 2x2+11x+12
Hester
4.8117 Answers
1. Identify the quadratic expression: 2x^2 + 11x + 12
2. To factor, seek two numbers whose product is2 \cdot 12 = 24 11
3. The numbers are3 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)
2. To factor, seek two numbers whose product is
3. The numbers are
4. Rewrite the middle term using these numbers:
5. Group terms:
6. Factor out the greatest common factor in each group:
7. Factor by grouping:
8. The factorized form is
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