因数-1/3 t^2+2t+12

解

因数

- \frac{1}{3} t^{2} + 2 t + 12

- \frac{1}{3} (t - 3 (1 + 5)) (t + 3 (5 - 1))

解答ステップ

- \frac{1}{3} t^{2} + 2 t + 12

共通項をくくり出す

- 1

= - (\frac{t ^{2}}{3} - 2 t - 12)

因数

\frac{t ^{2}}{3} - 2 t - 12 : \frac{1}{3} (t - 3 (1 + 5)) (t - 3 (1 - 5))

= - \frac{1}{3} (t - 3 (1 + 5)) (t - 3 (1 - 5))

因数

1 - 5 : - (5 - 1)

= - \frac{1}{3} (t - 3 (1 + 5)) (t - (- 3 (5 - 1)))

規則を適用

- (- a) = a

= - \frac{1}{3} (t - 3 (1 + 5)) (t + 3 (5 - 1))