Question

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

Step-by-step explanation:

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

Step by step solution :

STEP

1

:

Equation at the end of step 1

(((x3) +  32×2) +  29x) +  30  = 0

STEP

2

:

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