answer: x=-3
(1): "x4" was replaced by "x^4".
Step by step solution :
STEP
1
:
Equation at the end of step 1
((((4•(x4))-(21•(x3)))-(2•23x2))+219x)+180 = 0
STEP
2
:
Equation at the end of step
2
:
((((4•(x4))-(3•7x3))-(2•23x2))+219x)+180 = 0
STEP
3
:
Equation at the end of step
3
:
(((22x4 - (3•7x3)) - (2•23x2)) + 219x) + 180 = 0
STEP
4
:
Polynomial Roots Calculator :
4.1 Find roots (zeroes) of : F(x) = 4x4-21x3-46x2+219x+180
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 4 and the Trailing Constant is 180.
The factor(s) are:
of the Leading Coefficient : 1,2 ,4
of the Trailing Constant : 1 ,2 ,3 ,4 ,5 ,6 ,9 ,10 ,12 ,15 , etc
