Question

For what value of k , the polynomial

2 + (4 − ) + 2 is divisible by ( − 2)​

Answer 1

f(x)=2x

3

−x

2

+3x−k

Divisor is (x-1)

Now, According to Remainder theorem,

f(1)=0⇒2−1+3−k=0 or k=4

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