# PSAT Math : Trinomials

## Example Questions

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### Example Question #1 : How To Factor A Trinomial

Factor the following expression completely:

Explanation:

We must begin by factoring out from each term.

Next, we must find two numbers that sum to and multiply to .

### Example Question #2 : How To Factor A Trinomial

Factor the following trinomial:

Explanation:

To trinomial is in  form

In order to factor, find two numbers whose procuct is , in this case , and whose sum is , in this case

Factors of :

Which of these pairs has a sum of ?

and

Therefore the factored form of is:

### Example Question #1 : Trinomials

Factor the trinomial.

Explanation:

Our factors will need to have a product of , and a sum of , so our factors must be  and .

### Example Question #1 : Trinomials

Explanation:

Use the distributive property:

Combine like terms:

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

Find the product:

Explanation:

Find the product:

Step 1: Use the Distributive Property

Step 2: Combine like terms

### Example Question #3 : Trinomials

Find the product:

Explanation:

Find the product:

Use the distributive property:

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

Simplify:

Explanation:

All operations are addition, so we can first remove the parentheses:

Now rearrange the terms so that like terms are next to each other:

Combine like terms:

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

Add, expressing the result in simplest form:

Explanation:

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

Add, expressing the result in simplest form:

Explanation:

### Example Question #51 : Algebra

Add, expressing the result in simplest form: