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Division Algorithm for a Polynomial

If Q.No. 14, ...

Question

If Q.No. 14, c =

(a) b
(b) 2b
(c) 2b²
(d) −2b

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Solution

We have to find the value of c

Given is divisible by the polynomial

We must have

for all

…… (1)

Since , so

Now in the equation (1) the condition is true for all x. So put x = 1 and also we have ab = 1

Therefore we have

Substituting and we get,

Hence, the correct alternative is

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