What is factor-1/3 t^2+2t+12 ?

The solution to factor-1/3 t^2+2t+12 is -1/3 (t-3(1+sqrt(5)))(t+3(sqrt(5)-1))

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factor-1/3 t^2+2t+12

factor

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

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

Solution steps

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

Factor out common term

- 1

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

Factor

\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))

Factor

1 - 5 : - (5 - 1)

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

Apply rule

- (- a) = a

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

2 e h T + 2 g h T + e T^{2} + g T^{2}

\frac{- 21}{7}

2 y t e^{y} + 2 t e^{y}

5 x y + 10 x a + 2 yz + 4 a z

3 x^{3} + 35 x^{2} + 96 - 36

What is factor-1/3 t^2+2t+12 ?
The solution to factor-1/3 t^2+2t+12 is -1/3 (t-3(1+sqrt(5)))(t+3(sqrt(5)-1))