中等MATH-ALGE-007

Factorise 2x^2 + 7x + 3.

A. (2x + 1)(x + 3)✓ 答案
B. (2x + 3)(x + 1)
C. (2x − 1)(x − 3)
D. (x + 1)(x + 3)

解說

(2x + 1)(x + 3) = 2x^2 + 6x + x + 3 = 2x^2 + 7x + 3. The factorisation (2x + 3)(x + 1) gives middle term 5x. (x + 1)(x + 3) is not quadratic with leading coefficient 2.

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