Answer:
-3x3 - 2x - 4
Step-by-step explanation:
((((2•(x3))+x)-5x3)-3x)-4
(((2x3 + x) - 5x3) - 3x) - 4
Pulling out like terms :
4.1 Pull out like factors :
-3x3 - 2x - 4 = -1 • (3x3 + 2x + 4)
Polynomial Roots Calculator :
4.2 Find roots (zeroes) of : F(x) = 3x3 + 2x + 4
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 3 and the Trailing Constant is 4.
The factor(s) are:
of the Leading Coefficient : 1,3
of the Trailing Constant : 1 ,2 ,4
Let us test ....
P Q P/Q F(P/Q) Divisor
-1 1 -1.00 -1.00
-1 3 -0.33 3.22
-2 1 -2.00 -24.00
-2 3 -0.67 1.78
-4 1 -4.00 -196.00
-4 3 -1.33 -5.78
1 1 1.00 9.00
1 3 0.33 4.78
2 1 2.00 32.00
2 3 0.67 6.22
4 1 4.00 204.00
4 3 1.33 13.78
Polynomial Roots Calculator found no rational roots
Final result :
-3x3 - 2x - 4
Processing ends successfully
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