Question

When $x^2-4x+11$ is divided by $x-2$, the sum of quotient and remainder is .

• A. x + 2
• B. x + 5
• C. x + 4
• D. 2

Answer 1

The correct option is B x + 5

Dividend = Divisor × Quotient + Remainder

$x-2)x^2-4x+11(x-2\underset{–}{{}_{-}{x}^2\mp 2x}\underset{–}{-2x+11\mp 2x\pm 4}7$

Sum of quotient and remainder
$=x–2+7=x+5$