Math, asked by e67eiey, 6 months ago

If x

3 + 6x2

+ kx + 6 is exactly divisible by (x + 2), then k=?​

Answers

Answered by rathodkhushi00
0

Answer:

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Step-by-step explanation:

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Answered by tennetiraj86
2

Step-by-step explanation:

Given that:-

Given polynomial p(x)=+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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