(6x^5+4x^4-3x^3-1)÷(3x^2-x+1)
Answers
Step-by-step explanation:
6x5+4x4-3x3-11-x+3x2
Final result :
6x5 + 4x4 - 3x3 + 3x2 - x - 11
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "x2" was replaced by "x^2". 3 more similar replacement(s).
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(((((6•(x5))+(4•(x4)))-(3•(x3)))-11)-x)+3x2
Step 2 :
Equation at the end of step 2 :
(((((6•(x5))+(4•(x4)))-3x3)-11)-x)+3x2
Step 3 :
Equation at the end of step 3 :
(((((6•(x5))+22x4)-3x3)-11)-x)+3x2
Step 4 :
Equation at the end of step 4 :
(((((2•3x5) + 22x4) - 3x3) - 11) - x) + 3x2
Step 5 :
Trying to factor by pulling out :
5.1 Factoring: 6x5+4x4-3x3+3x2-x-11
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -3x3+3x2
Group 2: 6x5+4x4
Group 3: -x-11
Pull out from each group separately :
Group 1: (x-1) • (-3x2)
Group 2: (3x+2) • (2x4)
Group 3: (x+11) • (-1)
Looking for common sub-expressions :
Group 1: (x-1) • (-3x2)
Group 3: (x+11) • (-1)
Group 2: (3x+2) • (2x4)