Question

Factgorize:1/4 x^{2} +x-3

Answer 1

$\frac{1}{4} x^{2} +x-3 \\ \\ \frac{1}{4} (x^{2} +4x-12) \\ \\ \frac{1}{4} (x^{2} +6x-2x-12) \\ \\ \frac{1}{4} [x(x+6)-2(x+6)] \\ \\ \frac{1}{4} [(x+6)(x-2)]$

Answer 2

x²/4 + x - 3

⇒x²/4 - x/2 + 3x/2 - 3

⇒ x/2(x/2 - 1) + 3(x/2 - 1)

⇒ (x/2 + 3)(x/2 - 1)