Question

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the quotient when 6x^4yz-3xy^3z+8x^2yz^4 is divided by 2xyz...

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Answer 1

Step  1  :

z4 Simplify —— 2

Equation at the end of step  1  :

z4 ((((6•(x4))•y)•z)-((3x•(y3))•z))+((((((8•(x2))•y)•——)•x)•y)•z) 2

Step  2  :

Equation at the end of step  2  :

z4 ((((6•(x4))•y)•z)-((3x•(y3))•z))+(((((23x2•y)•——)•x)•y)•z) 2

Step  3  :

Dividing exponents :

 3.1    23   divided by   21   = 2(3 - 1) = 22

Equation at the end of step  3  :

((((6•(x4))•y)•z)-((3x•(y3))•z))+(((4x2yz4•x)•y)•z)

Step  4  :

Equation at the end of step  4  :

((((6•(x4))•y)•z)-(3xy3•z))+4x3y2z5

Step  5  :

Equation at the end of step  5  :

((((2•3x4) • y) • z) - 3xy3z) + 4x3y2z5

Step  6  :

Step  7  :

Pulling out like terms :

 7.1     Pull out like factors :

   6x4yz + 4x3y2z5 - 3xy3z  =   xyz • (6x3 + 4x2yz4- 3y2) 

Trying to factor a multi variable polynomial :

 7.2    Factoring    6x3 + 4x2yz4 - 3y2 

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

 Factorization fails

Final result :

xyz • (6x3 + 4x2yz4 - 3y2)

Answer 2

This is your Answer....#First answer

#correct answer

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