Question

find the value of k, the polynomial x^2+(4-k)x+2 is divisible by (x-2)?​

Answer 1

Answer:

value of k is 4

Step-by-step explanation:

x-2=0

->x=2

given P(X)=x^2+(4-k)x+2

if x=2 then P(x)=2

->P(2)=(2)2+(4-k)2+2

4+8-2k+2=0

14-2k=0

14=2k

14/2=k

7=k

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