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

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

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factor 3x^2-8x-28

factor

3 x^{2} - 8 x - 28

(x + 2) (3 x - 14)

Solution steps

3 x^{2} - 8 x - 28

Break the expression into groups

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

Factor out

3 x

from

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

Factor out

- 14

from

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

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

Factor out common term

x + 2

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

12 x^{3} + 16 x^{2} - 75 x - 100

3 (- \frac{2}{7})^{0}

\frac{4}{7} + \frac{6}{7 x}

8 x^{2} - 6 x

- 2 x (2 - x^{2}) (x + 1)