What is factor 3x^2-17x-6 ?

The solution to factor 3x^2-17x-6 is (3x+1)(x-6)

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factor 3x^2-17x-6

factor

3 x^{2} - 17 x - 6

(3 x + 1) (x - 6)

Solution steps

3 x^{2} - 17 x - 6

Break the expression into groups

= (3 x^{2} + x) + (- 18 x - 6)

Factor out

x

from

3 x^{2} + x : x (3 x + 1)

Factor out

- 6

from

- 18 x - 6 : - 6 (3 x + 1)

= x (3 x + 1) - 6 (3 x + 1)

Factor out common term

3 x + 1

= (3 x + 1) (x - 6)

- \frac{1}{2} + \frac{1}{1}

x^{2} + 6 x - 27

e^{2 x}

\frac{3}{4} x = \frac{1}{7}

4 (x + 9) = 6 (x + 5)