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Secondary School

Math

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If polynomial 2x 4 + 3x 3 + 2kx 2 +3x+6 is exactly divisible by (x+2) then value of k is: Could you plz tell it in detail fast.

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 byN1askoasrirose 05.06.2016

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tanu35 

Helping Hand

P (x)=x+2

p (x)=0

0=x+2

-2=x

we put -2 in the place of x

p (x)= 2x 4+ 3x 3+2kx2+3x+6

p (x)=0

0= (2×-2×4)+(3×-2×3)+(2×k×-2×2)+(3×-2)+6

0=-16+(-18)+(-8k)+(-6)+6

0=-16-18-8k-6+6

0=-34-8k

0+34=8k

34=8k

34/8=k

17/4=k