Answer:
Equation at the end of step 1
(((x3) + 3x2) - 7x) - 6
STEP
2
:
Checking for a perfect cube
2.1 x3+3x2-7x-6 is not a perfect cube
Trying to factor by pulling out :
2.2 Factoring: x3+3x2-7x-6
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -7x-6
Group 2: x3+3x2
Pull out from each group separately :
Group 1: (7x+6) • (-1)
Group 2: (x+3) • (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+3x2-7x-6
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
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 1 and the Trailing Constant is -6.
The factor(s) are:
of the Leading Coefficient : 1
of the Trailing Constant : 1 ,2 ,3 ,6