What is factor 3a^2-8a-28 ?

The solution to factor 3a^2-8a-28 is (a+2)(3a-14)

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factor 3a^2-8a-28

factor

3 a^{2} - 8 a - 28

(a + 2) (3 a - 14)

Solution steps

3 a^{2} - 8 a - 28

Break the expression into groups

= (3 a^{2} + 6 a) + (- 14 a - 28)

Factor out

3 a

from

3 a^{2} + 6 a : 3 a (a + 2)

Factor out

- 14

from

- 14 a - 28 : - 14 (a + 2)

= 3 a (a + 2) - 14 (a + 2)

Factor out common term

a + 2

= (a + 2) (3 a - 14)

- 3 < x < 5

- 1 \leq x < 5

ln (e^{8}) = x

(200 + 5 x) (100 - 2 x) = 15000

3 x^{2} + 2 x - 4 = 0