1
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Question

In the given graph, dividend =x2−8x+12 and divisor =(x−4). What will be the remainder of division operation?

A
1
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B
-4
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C
2
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D
3
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Solution

The correct option is B -4As per remainder theorem, if P(x) is divided by (x-a), then remainder will be equal to P(a). The distance between the points where the divisor cuts the x-axis and the value of dividend at that point will be our remainder (in this case (4, -4)). Join the points with vertices (4, 0) and (4, -4), this distance comes out to be 4 units, hence 4 is the remainder.

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