x^3+x^2+x/-x dividing a polynomial by a monomial, two ways used to simplify this expression
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We will say you are given the expression x^2+15x+56 and you are asked to find the other factor when the first factor you received is x+8 .
long division x+8 into x^2+15x+56 always use the leading coefficient of what you want to go into something such as x+8 into X^2+15x+56 how many times does x go into x^2
-------------------- since you are dividing you would subtract to get your answer x^2-x^2=0 15x-(+8x) 7x + 56
is equal to 7x how many times does x go into 7x x+7
or you could set it up like a fraction which is really what division really is
x^2+15x+56 if the polynomial factors here you can use this method
x^2+15x+56 (x+8) (x+7) what multiplied comes out to 56 and added will equal 15 8,7
(x+8) the 2 x+8 's cancel and you have x+7 as your answer