Question

divide a³-14a²+37a-26 by (a-2)

Answer 1

You can understand by given picture.
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Answer 2

$\frac{{a}^{3} - 14 {a}^{2} + 37a - 26 }{a - 2 }$
now divide it
first multiply with a^2 to a-2
then subtract it
the remainder left is
$\frac{ - 12 {a}^{2} + 37a - 26 }{a - 2}$
now multiply with -6a
then subtract it
the remainder left is
$\frac{13a - 26}{a - 2}$
now multiply with 13
then subtract it
the remainder left is
$\frac{0}{a - 2}$
and quotient is
${a}^{2} - 6a + 13$