Find the values of a if
x+ 3 is a factor of X3+2x2+6x+a.
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Step-by-step explanation:
Step 1 :
Equation at the end of step 1 :
Step 2 :
x3 - 2x2 + 6x - 3
Simplify —————————————————
x - 1
Checking for a perfect cube :
2.1 x3 - 2x2 + 6x - 3 is not a perfect cube
Trying to factor by pulling out :
2.2 Factoring: x3 - 2x2 + 6x - 3
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: 6x - 3
Group 2: -2x2 + x3
Pull out from each group separately :
Group 1: (2x - 1) • (3)
Group 2: (x - 2) • (x2)
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