x2 + 7x + 12 factors into:
A(x+1)(x+12)
B(x+5)(x+2)
C(x+3)(x+4)
D(x+2)(x+6)
Answer & Solution
Correct answer: C. (x+3)(x+4)
1. Look for two numbers that add to 7 and multiply to 12.
2. Those numbers are 3 and 4.
3. So the factors are (x + 3) and (x + 4).
4. The answer is (x+3)(x+4).
_Source: NCERT Class 9 Mathematics, Ch 4 'Exploring Algebraic Identities'_
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