Answer: i think -26
Step-by-step explanation: (3ₓ³+ₓ²)+2(ₓ³-4ₓ²)=-26
Find roots (zeroes) of : F(x) = 5x3+x2-32
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 5 and the Trailing Constant is -32.
The factor(s) are:
of the Leading Coefficient : 1,5
of the Trailing Constant : 1 ,2 ,4 ,8 ,16 ,32
Let us test ....
P Q P/Q F(P/Q) Divisor
-1 1 -1.00 -36.00
-1 5 -0.20 -32.00
-2 1 -2.00 -68.00
-2 5 -0.40 -32.16
-4 1 -4.00 -336.00
Note - For tidiness, printing of 19 checks which found no root was suppressed
Polynomial Roots Calculator found no rational roots
-26
