Question

Divide: 5x⁴-4x³+3x²-2x+1 by x-1​

Answer 1

Answer:

Brainiest me

Step-by-step explanation:

(((((5•(x4))-(4•(x3)))+3x2)-2x)+x)-1

(((((5•(x4))-22x3)+3x2)-2x)+x)-1

((((5x4 -  22x3) +  3x2) -  2x) +  x) -  1

4.1    Find roots (zeroes) of :       F(x) = 5x4-4x3+3x2-x-1

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 are 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  -1.

The factor(s) are:

of the Leading Coefficient:  1,5

of the Trailing Constant:  1

Let us test...

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        12.00      

     -1       5        -0.20        -0.64      

     1       1        1.00        2.00      

     1       5        0.20        -1.10      

Final result: 5x4 - 4x3 + 3x2 - x - 1