For what value of K is the polynomial p(x)=2x cube - kx square + 3x +10 exactly divisible by (x+2)
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Answered by
83
hey friend?!!?
your answer is "K=-3"
hope it will help you
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Deepsbhargav:
kya hua.. any doubt
no....now it's clear to me
my answer is correct or not
it's correct
OK
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all the best for your journey
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yep babes
what????
Answered by
21
Answer:
Value of k = -3
Step-by-step explanation:
If p(x)=2x³-kx²+3x+10 is exactly divisible by (x+2) then
p(-2) = 0 /* By factor theorem
=> 2(-2)³-k(-2)²+3(-2)+10=0
=> 2(-8)-4k-6+10=0
=> -16-4k+4=0
=> -4k-12 =0
=> -4k = 12
Divide each term by (-4 ), we get
=> k=-3
Therefore,
Value of k = -3
•••♪
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