The diagram represents the factorization of x² - 9x + 18. It is partially completed.

Solution:

factorization of algebraic expression means finding the factors of the given expression which refers to finding two or more expressions whose product is the given expression.

This process of finding two or more expressions whose product is the given expression is known as the factorization of algebraic expressions.

Given, x² - 9x + 18

The diagram represents the partial factorization of the equation.

We have to find the full factorization of the equation.

= x² - 9x + 18

= x² - 3x - 6x + 18

In this model, we multiply the top terms by the terms on the right.

For the box in the top right, we multiply x(x) which gives x².

For the two missing boxes,

We multiply -3(x) which gives -3x

We multiply -6(x) which gives -6x

Therefore, the factorization of x² - 9x + 18 is x² - 3x - 6x + 18.

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The diagram represents the factorization of x² - 9x + 18. It is partially completed.

Summary:

The diagram represents the factorization of x² - 9x + 18. It is partially completed. The missing boxes will contain -3x and -6x.