Factorizar por agrupacion
4wx^{3}+7wx^{2} +20w+35

STEP

1

:

Equation at the end of step 1

 (((4 • (w3)) +  7w2) +  20w) +  35

STEP

2

:

Equation at the end of step

2

:

 ((22w3 +  7w2) +  20w) +  35

STEP

3

:

Checking for a perfect cube

3.1    4w3+7w2+20w+35  is not a perfect cube

Trying to factor by pulling out :

3.2      Factoring:  4w3+7w2+20w+35

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

Group 1:  7w2+35

Group 2:  4w3+20w

Pull out from each group separately :

Group 1:   (w2+5) • (7)

Group 2:   (w2+5) • (4w)

Add up the two groups :

              (w2+5)  •  (4w+7)

Which is the desired factorization

Polynomial Roots Calculator :

3.3    Find roots (zeroes) of :       F(w) = w2+5

Polynomial Roots Calculator is a set of methods aimed at finding values of  w  for which   F(w)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  w  which can be expressed as the quotient of two integers