Factor the rational expression below:

8x^{3} + 22x^{2} - 6x | |

4x - 1 |

We do this by factoring numerator and denominator separately first

Factor 8x

Evaluating the expression you entered, we can factor out a term of 2x

Factor out 2x from 8x

Our new constant becomes 8 ÷ 2 = 4

Our new x variable piece becomes: x

Our new term becomes 4x

Factor out 2x from 22x

Our new constant becomes 22 ÷ 2 = 11

Our new x variable piece becomes: x

Our new term becomes 11x

Factor out 2x from -6x

Our new constant becomes -6 ÷ 2 = -3

Our new x variable piece becomes: x

Our new term becomes -3

Factor 4x - 1

2x(4x^{2} + 11x - 3) | |

(4x - 1) |