Chapter A.2, Problem 43E

Solution

To factor out the common factor of the expression $y{z}^3-3y{z}^2+2yz$ .

  $zy\left(z^2-3z+2\right)$

Given:

The expression, $y{z}^3-3y{z}^2+2yz$

Concept Used:

• Like terms are the terms that contain the same variable with similar exponents on it. Constants are like terms as well.
• In any expression, terms are separated by plus or minus signs.
• Coefficients are the constants in front of the variable terms.

Calculation:

In order to find the common factor out first find the common factor in this equation $y{z}^3-3y{z}^2+2yz$

The common factor in this equation is $zy$ ,

Therefore putting $zy$ in front of a set of bracket as shown below:

  $zy\left(z^2-3z+2\right)$

It is $zy$ times $z^2$ and $zy\times 3z$ and $zy\times 2$ to get the answer in the bracket.

So, the common factor is $zy$ .