Solution - Factoring multivariable polynomials

Step  1  :

Equation at the end of step  1  :

  ((40 • (y3)) -  5y4) +  15yx
 Step  2  :

Equation at the end of step  2  :

  ((23•5y3) -  5y4) +  15yx

Step  3  :

Step  4  :

Pulling out like terms :

 4.1     Pull out like factors :

   -5y⁴ + 40y³ + 15yx  =   -5y • (y³ - 8y² - 3x) 

Trying to factor a multi variable polynomial :

 4.2    Factoring    y³ - 8y² - 3x 

Try to factor this multi-variable trinomial using trial and error 

 Factorization fails

Final result :

  -5y • (y3 - 8y2 - 3x)