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Long Division Method to Divide Two Polynomials

When x2 - 4x ...

Question

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

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Solution

Dividend = Divisor × Quotient + Remainder

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

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