Solution - Simplification or other simple results

Step  1  :

Equation at the end of step  1  :

  ((w6) +  (7 • (w5))) +  (2•7w4)
 Step  2  :

Equation at the end of step  2  :

  ((w6) +  7w5) +  (2•7w4)

Step  3  :

Step  4  :

Pulling out like terms :

 4.1     Pull out like factors :

   w⁶ + 7w⁵ + 14w⁴  =   w⁴ • (w² + 7w + 14) 

Trying to factor by splitting the middle term

 4.2     Factoring  w² + 7w + 14 

The first term is,  w²  its coefficient is  1 .
The middle term is,  +7w  its coefficient is  7 .
The last term, "the constant", is  +14 

Step-1 : Multiply the coefficient of the first term by the constant   1 • 14 = 14 

Step-2 : Find two factors of  14  whose sum equals the coefficient of the middle term, which is   7 .

Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored

Final result :

  w4 • (w2 + 7w + 14)