What is factor t^2-2t-8 ?

The solution to factor t^2-2t-8 is (t+2)(t-4)

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factor t^2-2t-8

factor

t^{2} - 2 t - 8

(t + 2) (t - 4)

Solution steps

t^{2} - 2 t - 8

Break the expression into groups

= (t^{2} + 2 t) + (- 4 t - 8)

Factor out

t

from

t^{2} + 2 t : t (t + 2)

Factor out

- 4

from

- 4 t - 8 : - 4 (t + 2)

= t (t + 2) - 4 (t + 2)

Factor out common term

t + 2

= (t + 2) (t - 4)

x^{2} e^{- x^{2}}

x^{5} - x^{3} - 42 x

\frac{5}{6} \cdot \frac{1}{2}

(x + 4)^{2} = - 9

1 + 2 x < 9