-x raised to an even power is positive. Odd exponents become negative:
4(-x)7 positive constant and odd exponent We get a negative result of -4x7
3(-x)6 positive constant and even exponent We get a positive result of + 3x6
(-x)5 positive constant and odd exponent We get a negative result of - x5
2(-x)4 positive constant and even exponent We get a positive result of + 2x4
-(-x)3 negative constant and odd exponent We get a positive result of + x3
9(-x)2 positive constant and even exponent We get a positive result of + 9x2
(-x) positive constant and odd exponent We get a negative result of - x
1 positive constant and even exponent We get a positive result of + 1
ƒ(-x) = -4x7 + 3x6 - x5 + 2x4 + x3 + 9x2 - x + 1
Evaluate the possible negative roots: ƒ(x) = - 4x7 + 3x6 - x5 + 2x4 + x3 + 9x2 - x + 1
There are 5 sign change(s):
Sign Change 1) - to + Sign Change 2) + to - Sign Change 3) - to + Sign Change 4) + to - Sign Change 5) - to +
Find more possible negative roots Count down in pairs until we pass zero. 5 roots - 1 pair (2 roots) = 3 3 roots - 1 pair (2 roots) = 1
5 or 3 or 1 negative roots
You have 2 free calculationss remaining
(5 or 3 or 1) negative roots
You have 2 free calculationss remaining
What is the Answer?
(5 or 3 or 1) negative roots
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)