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Divide
$x^2+12x+35 \ by \ x+7$
Solution:
$x^2 + 12 x + 35 \ divided \ by \ x + 7$
$ x + 7$ ) $x ^2 + 12 x + 35( x + 5$
$x ^2 + 7 x$
(-) (-)
________________
$5 x + 35$
$5 x + 35$
(-) (-)
________________
0
Therefore, $x ^2 + 12 x + 35 \ divided \ by \ x + 7$
Quotient - x + 5
Remainder - 0