The roots of the cubic equation x3 + 6x2 - 9x + 4 = 0 are
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Step-by-step explanation:
Equation at the end of step 1
(((x3) - (2•3x2)) + 9x) - 4 = 0
STEP
2
:
Checking for a perfect cube
2.1 x3-6x2+9x-4 is not a perfect cube
Trying to factor by pulling out :
2.2 Factoring: x3-6x2+9x-4
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: 9x-4
Group 2: -6x2+x3
Pull out from each group separately :
Group 1: (9x-4) • (1)
Group 2: (x-6) • (x2)
Bad news !! Factoring by pulling out fails :
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