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Continuing: $x^{4} - 6 x^{3} - 26 x^{2} + 138 x - 35$ is divided by $x^{2} - 4 x + 1$ .
What is the quotient?

Class 10Division AlgorithmAlgebra — Polynomials

A $x^{2} - 2 x - 35$
B $x^{2} + 2 x - 35$
C $x^{2} - 2 x + 35$
D $x^{2} - 2 x - 5$

Step-by-Step Solution

Dividing gives quotient

x^{2} - 2 x - 35

with remainder 0. Check leading:

\frac{x ^{4}}{x ^{2}} = x^{2}

; constant:

\frac{- 35}{1} = - 35

.

Answer: A)

x^{2} - 2 x - 35

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