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which of the following is a complete list of all possible rational zeros of f(x) = x^3 + 2x^2 - 6x + 8?​

Sagot :

Answer:

2.3    Find roots (zeroes) of :       F(x) = x3-2x2-6x-8

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Step-by-step explanation:

step 1  

  • Equation at the end of step
  • (((x3) -  2x2) -  6x) -  8

step 2

  • Checking for a perfect cube
  • 2.1    x3-2x2-6x-8  is not a perfect cube
  • Trying to factor by pulling out :
  • 2.2      Factoring:  x3-2x2-6x-8  

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  -6x-8  

Group 2:  -2x2+x3  

Pull out from each group separately :

Group 1:   (3x+4) • (-2)

Group 2:   (x-2) • (x2)

Bad news !! Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.

  • Polynomial Roots Calculator :
  • 2.3    Find roots (zeroes) of :       F(x) = x3-2x2-6x-8
  • Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

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