The polynomial x^3 + ax^2 - x + 6is completely divisible by (x - 2). Find the value of 'a'.
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a=-3
Step-by-step explanation:
since the polynomial is completely divisble by (x-2) it is a factor
x-2=0
x=2
f(x) =f(2)
f(2)=0
(2)^3+a(2)^2-2+6=0
8+4a-2+6=0
4a+12=0
4a=-12
a=-12/4
hence, a=-3
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