what are the zeros of the polynomial function f(x)=x^3-9x^2+29x?


  1. Answer:

    Step-by-step explanation:

    (1): “x2”   was replaced by   “x^2”.  1 more similar replacement(s).

    Step by step solution :




    Equation at the end of step 1

     (((x3) +  32×2) +  29x) +  30  = 0  




    Checking for a perfect cube

    2.1    x3+9×2+29x+30  is not a perfect cube

    Trying to factor by pulling out :

    2.2      Factoring:  x3+9×2+29x+30  

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

    Group 1:  29x+30  

    Group 2:  x3+9×2  

    Pull out from each group separately :

    Group 1:   (29x+30) • (1)

    Group 2:   (x+9) • (x2)

    he 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+9×2+29x+30

    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


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