Question

The long division below shows the first term of the quotient. Which polynomial should be subtracted from the dividend first? mc003-1.jpg x + 3 x2 + x + 2 x3 + 2x2 x2 + 3x

Answer 1

Answer:

$x^{3} +3x^{2} +x$

Step-by-step explanation:

Since, the long division below shows the first term of the quotient, our aim is to conclude which polynomial should be subtracted from the dividend first?

Hence, when we dividing $x^{3} +3x^{2} +x$ by $x+2$ we look to the degree minus one of the numerator, in first hand, which is $x^{2}$.

Then, we multiply it by $x+2$, following the division rule, we have $x^{3} +3x^{2} +x$.

Thus, we must divide $x^{3} +3x^{2} +x$ first from the dividend.