Question

4. Show that m² + m + 1 is not a factor of
m-4m ^3+ m2 - 5m + 6.​

Answer 1

Answer:

STEP1:Equation at the end of step 1

(((m3) - (2•3m2)) + 12m) - 8 = 0

STEP2:Checking for a perfect cube

 2.1    m3-6m2+12m-8  is not a perfect cube 

Trying to factor by pulling out :

 2.2      Factoring:  m3-6m2+12m-8 

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

Group 1:  m3-8 

Group 2:  -6m2+12m 

Pull out from each group separately :

Group 1:   (m3-8) • (1)

Group 2:   (m-2) • (-6m)

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