Step-by-step Solution:
STEP 1: Equation at the end of step 1:
(((2 • (x3)) + 5x2) - 21x) - 36
STEP 2: Equation at the end of step 2:
((2x3 + 5x2) - 21x) - 36
STEP 3: Checking for a perfect cube:
3.1 2x3+5x2-21x-36 is not a perfect cube
Trying to factor by pulling out :
3.2 Factoring: 2x3+5x2-21x-36
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -21x-36
Group 2: 2x3+5x2
Pull out from each group separately :
Group 1: (7x+12) • (-3)
Group 2: (2x+5) • (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 :
3.3 Find roots (zeroes) of :
F(x) = 2x3+5x2-21x-36
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.
