#### Express as a trinomial.

#### (3x – 9) (2x – 1)

**Answer:**

To express the product (3x – 9)(2x – 1) as a trinomial, you multiply the terms according to the FOIL method. After combining like terms, the result is the trinomial 6x² – 21x + 9.

**Explanation:**

To express the product of two binomials as a trinomial, we use the FOIL method, where FOIL stands for First, Outer, Inner, Last. This refers to the terms of each binomial that need to be multiplied together. Let’s apply this method to the binomials (3x – 9) and (2x – 1).

First terms: Multiply the first terms of each binomial: 3x * 2x = 6x².

Outer terms: Multiply the outer terms: 3x * -1 = -3x.

Inner terms: Multiply the inner terms: -9 * 2x = -18x.

Last terms: Multiply the last terms: -9 * -1 = 9.

Now, combine like terms: 6x² (from the first terms) -3x and -18x (from the outer and inner terms combined), and +9 (from the last terms).

The trinomial is 6x² – 21x + 9.

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