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For what value of k is the polynomial 2x + 3x3 + 2kx2 + 3x + 6 is divisible by (x + 2)​

Sagot :

Trisha8629go

Answer:

−1

Let p(x) = 2x 4+3x 3+2px 2+3x+6

By factor theorem, p(x) will be exactly divisible by (x+2) if $p ( -2) = 0.Now,p(-2) = 2( -2)^4 + 3( -2)^3 + 2p( -2)^2 + 3( -2) + 6= 32 - 24 + 8p - 6 + 6= 8 + 8p$

Since, p(−2)=0

⇒8+8p=0

⇒8p=0

⇒8p=−8

⇒p=−1

sana makatulong:,-)

2017E0010go

Answer:

x = -2

Step-by-step explanation:

f(x)=2x4+ 3x3+ 2kx2+ 3x + 6Here, the divisor is (x + 2).Equate the divisor to zero.

hope it helps  am sure  

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