In the given graph, dividend $= x^{2} - 8 x + 12$ and divisor $= (x - 4)$ . What will be the remainder of division operation?

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-4

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Solution

The correct option is B -4
As 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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