Question

(f) y4 + 4y3 – 2y2 +10y – 25 by y +5​

Answer 1

Answer:

Changes made to your input should not affect the solution:

 (1): "y2"   was replaced by   "y^2".  2 more similar replacement(s).

STEP1:Equation at the end of step 1 (((y4)+(4•(y3)))+2y2)-3y STEP 2 :Equation at the end of step2: (((y4) + 22y3) + 2y2) - 3y STEP3:STEP4:Pulling out like terms

 4.1     Pull out like factors :

   y4 + 4y3 + 2y2 - 3y  = 

  y • (y3 + 4y2 + 2y - 3) 

Checking for a perfect cube :

 4.2    y3 + 4y2 + 2y - 3  is not a perfect cube

Trying to factor by pulling out :

 4.3      Factoring:  y3 + 4y2 + 2y - 3 

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

Group 1:  2y - 3 

Group 2:  4y2 + y3 

Pull out from each group separately :

Group 1:   (2y - 3) • (1)

Group 2:   (y + 4) • (y2)