Question

for what value of k the polynomial x²+(4-k)x+2 is divided by x-2​

Answer 1

k=7

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Answer 2

Answer:

As the given polynomial divisible by x-2 means the polynomial satisfies for the value x=2

So putting x=2 in x²+(4-k)x+2 yields 0

⇒2²+(4-k)2+2=0

⇒4+8-2k+2=0 ⇒ 2k=14 ⇒ k=7

Now replacing k=7, x²-3x+2 if factorized yields (x-1)(x-2). Thus is divisible by x-2 as well as divisible by x-1.

Step-by-step explanation: