(x^3 – 2x² – 4) / (x - 2)

Step-by-step explanation:

(((x3) - 2x2) - 4x) - 2 = 0

STEP

2

:

Checking for a perfect cube

2.1 x3-2x2-4x-2 is not a perfect cube

Trying to factor by pulling out :

2.2 Factoring: x3-2x2-4x-2

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

Group 1: -4x-2

Group 2: -2x2+x3

Pull out from each group separately :

Group 1: (2x+1) • (-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) = x3-2x2-4x-2

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