Question

for what value of k is the polinomial (2x4+3x3+2kx2+3x+6) divisible by (x+2)[tex][/tex]

Answer 1

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Answer 2

Answer:

Step-by-step explanation:

x+2=0

x=-2

P(x)=2x^4+3x^3+2kx^2+3x+6

P(-2)=2(-2)^4+3(-2)^3+2k(-2)^2+3(-2)+6=0

=2 X 16 + 3 X -8 + 2 X 4 X k -6 +6=0

=32+(-24)+8k-6+6=0

=8+8k=0

=8k= -8

=k= -1