Answer
(x+1) (2x + 1) (5x - 6)
Work Step by Step
The given polynomial = 10$x^{2}$(x+1) - 7x(x+1) - 6(x+1).
Take (x+1) common from given expression.
(x+1) (10$x^{2}$ - 7x - 6).
Now do factor of (10$x^{2}$ - 7x - 6).
10$x^{2}$ - 12x + 5x - 6
= 2x(5x - 6) + 1(5x - 6)
= (2x + 1) (5x - 6)
10$x^{2}$(x+1) - 7x(x+1) - 6(x+1) = (x+1) (2x + 1) (5x - 6)
