Question

Subtract x3 – 7x2 + 3 from the sum of - 3x3 + x2 and – x2 + 4x - 3.

Answer 1

Answer:

x3 – 7x2 + 3------  x3 - 7x2 + 3

3x3 + x2-----------x2 • (3x + 1)

x2 + 4x - 3------------ x2 + 4x - 3

Step-by-step explanation:

Step  1  :

Equation at the end of step  1  :

 ((x3) -  7x2) +  3

Step  2  :

Polynomial Roots Calculator :

2.1    Find roots (zeroes) of :       F(x) = x3-7x2+3

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  3.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,3

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        -5.00      

     -3       1        -3.00        -87.00      

     1       1        1.00        -3.00      

     3       1        3.00        -33.00    

Hope this helps.

Answer 2

Answer:

-4x3 - 11x2 + 4x

Step-by-step explanation:

-3x3 +x2 -x2 +4x -3 -x3 -7x2 +3

- 4x3 - 11x2 + 4x