When $x^{2} - 4 x + 12$ is divided by $x - 2$ , then the sum of quotient and remainder is ___________.

x + 5

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x + 2

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x + 6

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Solution

The correct option is C x + 6
Dividend = Divisor × Quotient + Remainder
$x - 2) x^{2} - 4 x + 12 (x - 2_{-} x^{2} \mp 2 x - -------- - - 2 x + 12 \mp 2 x \pm 4 - -------- - 8$

Sum of quotient and remainder
$= x - 2 + 8 = x + 6$

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