divide x^3 + 2x^2 - 5x - 6 by x-1 using long division
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Step by step solution :
Step 1 :
Equation at the end of step 1 :
Step 2 :
x3 - 2x2 - 5x + 6
Simplify —————————————————
x - 1
Checking for a perfect cube :
2.1 x3 - 2x2 - 5x + 6 is not a perfect cube
Trying to factor by pulling out :
2.2 Factoring: x3 - 2x2 - 5x + 6
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -5x + 6
Group 2: x3 - 2x2
Pull out from each group separately :
Group 1: (-5x + 6) • (1) = (5x - 6) • (-1)
Group 2: (x - 2) • (x2)
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Therefore, x²+3x+10
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