Question

The long division below shows the first term of the quotient. Which polynomial should be subtracted from the dividend first? mc003-1.jpg

Answer 1

x³+2x² is your answer i got it right in my test ;)

Answer 2

Answer: $x^3 + 2x^2$

Explanation:

when we divide polynomial $x^3 +3x^2 +x$  by  x+2

we will first consider polynomial  with  one degree less than the numerator that will  be $x^{2}$ and as when we multiply $x^{2}$ by x+2 by the rule of long division we get $x^3 +2x^2$

Hence, $x^3 +2x^2$  will be the first term we will divide from the dividend.