4x³+16x²+48x+64 solve the equation
Answers
4x3-48x+64=0
Two solutions were found :
x = 2
x = -4
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(22x3 - 48x) + 64 = 0
Step 2 :
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
4x3 - 48x + 64 = 4 • (x3 - 12x + 16)
Polynomial Roots Calculator :
3.2 Find roots (zeroes) of : F(x) = x3 - 12x + 16
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 1 and the Trailing Constant is 16.
The factor(s) are:
of the Leading Coefficient : 1
of the Trailing Constant : 1 ,2 ,4 ,8 ,16
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