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)
You have 2 free calculationss remaining
What is the Answer?
(4x - 1)
How does the Factoring and Root Finding Calculator work?
Free Factoring and Root Finding Calculator - This calculator factors a binomial including all 26 variables (a-z) using the following factoring principles:
* Difference of Squares
* Sum of Cubes
* Difference of Cubes
* Binomial Expansions
* Quadratics
* Factor by Grouping
* Common Term
This calculator also uses the Rational Root Theorem (Rational Zero Theorem) to determine potential roots
* Factors and simplifies Rational Expressions of one fraction
* Determines the number of potential positive and negative roots using Descarte’s Rule of Signs This calculator has 1 input.
What 3 formulas are used for the Factoring and Root Finding Calculator?
a2 - b2 = (a + b)(a - b) a3 + b3 = (a + b) (a2 - ab + b2) a3 - b3 = (a - b) (a2
+ ab + b2)