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

add all the numbers and check the ones place.

the answer is 486. as the ones place is more than 4, the estimation will be the next 10 ie, 490

step-by-step explanation: