Question

Match the following polynomials with their respective quotients when divided by $x$.

• A. $3x^3-2$
• B. $5x+7x^2$
• C. $8$
• D. $-6x^5+10x^3$

Answer 1

The required divisions are shown below:




$\begin{array}{c}3x^3-2\\ x3x^4-2x\\ \underset{–}{3x^4-}2\\ -2x\\ \underset{–}{-2x+}\\ \underset{–}{0}\end{array}$





$\begin{array}{c}5x+7x^2\\ x5x^2+7x^3\\ \underset{–}{5x^2-}2\\ 7x^3\\ \underset{–}{7x^3-}\\ \underset{–}{0}\end{array}$




$\begin{array}{c}-6x^5+10x^3\\ x-6x^6+10x^4\\ \underset{–}{-6x^6+}2\\ 10x^4\\ \underset{–}{10x^4-}\\ \underset{–}{0}\end{array}$