# ACT Math : Trinomials

## Example Questions

### Example Question #4 : How To Multiply Trinomials

What is ?

Explanation:

is distributed first to  and  is distributed to . This results in  and .  Like terms can then be added together. When added together, , , and . This makes the correct answer .

### Example Question #56 : Polynomials

Explanation:

To add the trinomials, simply eliminate the parentheses and add like terms.

### Example Question #1 : How To Add Trinomials

Explanation:

Like terms can be added together:  is added to ,   is added to , and  is added to . The resulting answer choice that is correct is .

### Example Question #2 : How To Add Trinomials

Choose the answer which best simplifies the following expression:

Explanation:

To solve this problem simply remove the parentheses and add the like terms:

### Example Question #3 : How To Add Trinomials

Choose the answer which best simplifies the following expression:

Explanation:

To simplify, remove parentheses and combine like terms:

### Example Question #4 : How To Add Trinomials

Choose the answer which best simplifies the following expression:

Explanation:

To simplify, remove parentheses and combine like terms:

Note that adding or subtracting a zero to the end of this equation is unnecessary.

### Example Question #5 : How To Add Trinomials

Choose the answer which best simplifies the following expression:

Explanation:

To simplify, simply remove the parentheses and combine like terms:

### Example Question #671 : Algebra

A hockey team has 12 forwards, 6 defensemen, and 2 goalies.  When they place 3 forwards, 2 defensemen, and 1 goalie on the ice, how many of each type are on the bench, (not on the ice)?  F=Forward, D = Defensemen, G= Goalie

36 F, 12 D, 2 G

4 F, 3 D, 2 G

9 F, 4 D, 1 G

6 F, 2 D, 1 G

15 F, 8 D, 3 G

9 F, 4 D, 1 G

Explanation:

We can represent this as a subtraction of trinomials.

(12F + 6D + 2G) – (3F + 2D + 1G) = 9F + 4D + 1G.

### Example Question #672 : Algebra

You go to the grocery store and pick up  apples,  peaches, and  oranges. Today you had some friends over who ate  apples,  peaches, and  oranges. Which of the following represents how many of each you now have left if  = apples,  = peaches, and  = oranges?

Explanation:

1. Represent the situation with two sets of trinomials:

Before your friends ate the fruit:

2. Subtract the first trinomial from the second trinomial:

### Example Question #673 : Algebra

Choose the answer which best simplifies the following expression: