If x
3 + 6x2
+ kx + 6 is exactly divisible by (x + 2), then k=?
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Step-by-step explanation:
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Step-by-step explanation:
Given that:-
Given polynomial p(x)=x³+6x²+Kx+6
P(x) is exactly divisible by (x+2)
then by factor theorem
If (x-a) is a factor of p(x) then p(a)=0
=>p(-2)=0
=>(-2)³+6(-2)²+k(-2)+6=0
=>-8+24-2k+6=0
=>30-8-2k=0
=>22-2k=0
=>2k=22
=>k=22/2
=>k=11
The value of k=11
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