| 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)
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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
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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)
For more math formulas, check out our Formula Dossier
What 5 concepts are covered in the Factoring and Root Finding Calculator?
factora divisor of an integer n, also called a factor of n, is an integer m that may be multiplied by some integer to produce n.polynomialan expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).rational expressionsQuotient of two polynomialsP(x)/Q(x)rational root theoremused to find the rational solutions of a polynomial equationrational zero theoremused to find the rational roots of a polynomial function
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Factoring and Root Finding Calculator Video
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