| 8x3 + 22x2 - 6x | |
| 4x - 1 |
We do this by factoring numerator and denominator separately first
Factor 8x3 + 22x2 - 6x
Evaluating the expression you entered
Factor out a term of 2x
Factor out 2x from 8x3
Our new constant becomes 8 ÷ 2 = 4
Our new x variable piece becomes
x(3 - 1) = x2
Our new term becomes 4x2
Factor out 2x from 22x2
Our new constant becomes 22 ÷ 2 = 11
Our new x variable piece becomes
x(2 - 1) = x1
Our new term becomes 11x
Factor out 2x from -6x
Our new constant becomes -6 ÷ 2 = -3
Our new x variable piece becomes
x(1 - 1) = x0 = 1
Our new term becomes -3
Our factored expression is:
2x(4x2 + 11x-3)Attach our factored out piece from the beginning of our calculation for our final expression:
2x(4x2 + 11x - 3)Factor 4x - 1
Our factored out term becomes:
Our factored rational expression is as follows:
| 2x(4x2 + 11x - 3) | |
| (4x - 1) |
(4x - 1)
