I will give 100 points if you can help me (5x^3+3x^2+1)-(2x^3-x^2+3)
Please show all work and explain

3x ^3  +4x^2  −2

Step-by-step explanation:

STEP

1

:  Equation at the end of step 1

 (((5•(x3))+(3•(x2)))+1)-((2x3-x2)+3)

STEP  2  Equation at the end of step

 (((5•(x3))+3x2)+1)-(2x3-x2+3)

STEP  3  :

Equation at the end of step

 ((5x3 +  3x2) +  1) -  (2x3 - x2 + 3)

STEP

4:

Polynomial Roots Calculator :

4.1    Find roots (zeroes) of :       F(x) = 3x3+4x2-2

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  -2.

The factor(s) are:

of the Leading Coefficient :  1,3

of the Trailing Constant :  1 ,2

Let us test

 P    Q    P/Q    F(P/Q)    Divisor

     -1       1        -1.00        -1.00      

     -1       3        -0.33        -1.67      

     -2       1        -2.00        -10.00      

     -2       3        -0.67        -1.11      

     1       1        1.00        5.00      

     1       3        0.33        -1.44      

     2       1        2.00        38.00      

     2       3        0.67        0.67    

Hope This Helps