Question

Match the following expressions with their respective common factors.

• A. $1$
• B. $5x^2$
• C. $9y$
• D. $6z^2$

Answer 1

$4x+7y+8z$ involves no common term. Therefore, the common factor in the expression $4x+7y+8z$ would be $1$.

$15x^2+30x^3-20x^4$ can be represented as $5x^2\times (3+6x-4x^2)$. The common factor in the expression $15x^2+30x^3-20x^4$ would be $5x^2$.

$9y^3+27y^2-36y$ can be represented as $9y\times (y^2+3y-4)$. The common factor in the expression $9y^3+27y^2-36y$ would be $9y$.

$36z^3-12z^2+6z^4$ can be represented as $6z^2\times (6z-2+z^2)$. The common factor in the expression $36z^3-12z^2+6z^4$ would be $6z^2$.