Algebramedium · Past Paper

Factorize x^2 + 5x + 6.

A(x+1)(x+6)
B(x+2)(x+3)
C(x-2)(x-3)
D(x+5)(x+1)

✓ Correct Answer: B(x+2)(x+3)

Middle term break: 5x = 2x + 3x. Then (x^2+2x)+(3x+6) = x(x+2)+3(x+2) = (x+2)(x+3).

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