Advanced Math practice question

Answer: A. (x² + 3)(x + 2)

Group in pairs: x²(x + 2) + 3(x + 2). Both groups share (x + 2), so the expression is (x² + 3)(x + 2). Check: x³ + 2x² + 3x + 6.

Why the other answers are wrong

B. (x² + 2)(x + 3)

(x² + 2)(x + 3) expands to x³ + 3x² + 2x + 6 — the 2 and 3 are in the wrong places.

C. (x + 2)(x + 3)

(x + 2)(x + 3) is only quadratic, x² + 5x + 6. The original is cubic.

D. (x² + 6)(x + 1)

(x² + 6)(x + 1) expands to x³ + x² + 6x + 6, which doesn't match.

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