What is factor 48x^3+112x^2-3x-7 ?

The solution to factor 48x^3+112x^2-3x-7 is (3x+7)(4x+1)(4x-1)

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factor 48x^3+112x^2-3x-7

factor

48 x^{3} + 112 x^{2} - 3 x - 7

(3 x + 7) (4 x + 1) (4 x - 1)

Solution steps

48 x^{3} + 112 x^{2} - 3 x - 7

= (48 x^{3} + 112 x^{2}) + (- 3 x - 7)

Factor out

16 x^{2}

from

48 x^{3} + 112 x^{2} : 16 x^{2} (3 x + 7)

Factor out

- 1

from

- 3 x - 7 : - (3 x + 7)

= 16 x^{2} (3 x + 7) - (3 x + 7)

Factor out common term

(3 x + 7) : (3 x + 7) (16 x^{2} - 1)

= (3 x + 7) (16 x^{2} - 1)

Factor

16 x^{2} - 1 : (4 x + 1) (4 x - 1)

= (3 x + 7) (4 x + 1) (4 x - 1)

(- 2) (- 3)

(y + \frac{1}{2})^{2}

\frac{3 + 2 i}{5 i}

(3 + 5 i) (5 - 3 i)

7 m + 12 n + 21 m + 20 n + 32 n

What is factor 48x^3+112x^2-3x-7 ?
The solution to factor 48x^3+112x^2-3x-7 is (3x+7)(4x+1)(4x-1)