What is factor 3x^2-11x-4 ?

The solution to factor 3x^2-11x-4 is (3x+1)(x-4)

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factor 3x^2-11x-4

factor

3 x^{2} - 11 x - 4

(3 x + 1) (x - 4)

Solution steps

3 x^{2} - 11 x - 4

Break the expression into groups

= (3 x^{2} + x) + (- 12 x - 4)

Factor out

x

from

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

Factor out

- 4

from

- 12 x - 4 : - 4 (3 x + 1)

= x (3 x + 1) - 4 (3 x + 1)

Factor out common term

3 x + 1

= (3 x + 1) (x - 4)

x = \frac{- 300}{2 ( - 6 )}

\frac{2}{3} x^{- \frac{1}{3}}

5^{2} = - x^{2} + 4^{2}

y - 6 > - 13

47 \cdot 5