Which expression is the simplest for of -(3ₓ³+ₓ²)+2(ₓ³-4ₓ²)?

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

20

step-by-step explanation: