What is factor 3x^2-2x-16 ?

The solution to factor 3x^2-2x-16 is (x+2)(3x-8)

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factor 3x^2-2x-16

factor

3 x^{2} - 2 x - 16

(x + 2) (3 x - 8)

Solution steps

3 x^{2} - 2 x - 16

Break the expression into groups

= (3 x^{2} + 6 x) + (- 8 x - 16)

Factor out

3 x

from

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

Factor out

- 8

from

- 8 x - 16 : - 8 (x + 2)

= 3 x (x + 2) - 8 (x + 2)

Factor out common term

x + 2

= (x + 2) (3 x - 8)

2^{3} \cdot 2^{4}

8 x - 7 = 3 x + 3

4 x^{2} - 4 x - 24 = 0

\frac{( x ^{\frac{2}{3}} y ^{\frac{3}{2}} ) ^{2}}{x ^{\frac{4}{3}} y ^{3}}

(5 v - 6) (4 + v) = 0