What is factor 14w^3+7w^2-46w-23 ?

The solution to factor 14w^3+7w^2-46w-23 is (2w+1)(7w^2-23)

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factor 14w^3+7w^2-46w-23

factor

14 w^{3} + 7 w^{2} - 46 w - 23

(2 w + 1) (7 w^{2} - 23)

Solution steps

14 w^{3} + 7 w^{2} - 46 w - 23

= (14 w^{3} + 7 w^{2}) + (- 46 w - 23)

Factor out

7 w^{2}

from

14 w^{3} + 7 w^{2} : 7 w^{2} (2 w + 1)

Factor out

- 23

from

- 46 w - 23 : - 23 (2 w + 1)

= 7 w^{2} (2 w + 1) - 23 (2 w + 1)

Factor out common term

2 w + 1

= (2 w + 1) (7 w^{2} - 23)

7 = \frac{1}{6} s + 11

- 2 q + 3 (7 q + 6) \leq 10 q - 1 - 7

(z + 9) (z - 2) = (z + 6) (z - 20)

\frac{x + 1}{35} + \frac{x + 3}{33} = \frac{x + 5}{31} + \frac{x + 7}{29}

2 x + 5 - 9 + x > 0

What is factor 14w^3+7w^2-46w-23 ?
The solution to factor 14w^3+7w^2-46w-23 is (2w+1)(7w^2-23)