Solve 5u^3-5u^2+22u-22

$$5 u ^ { 3 } - 5 u ^ { 2 } + 22 u - 22$$

Factor

$$\left(u-1\right)\left(5u^{2}+22\right)$$

Solution Steps

Do the grouping 5u^{3}-5u^{2}+22u-22=\left(5u^{3}-5u^{2}\right)+\left(22u-22\right), and factor out 5u^{2} in the first and 22 in the second group.

$$5u^{2}\left(u-1\right)+22\left(u-1\right)$$

Factor out common term u-1 by using distributive property. Polynomial 5u^{2}+22 is not factored since it does not have any rational roots.

$$\left(u-1\right)\left(5u^{2}+22\right)$$

Evaluate

$$\left(u-1\right)\left(5u^{2}+22\right)$$