Trinomials

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PSAT Math › Trinomials

Questions 1 - 10
1

Add, expressing the result in simplest form:

Explanation

2

Add, expressing the result in simplest form:

Explanation

3

Add, expressing the result in simplest form:

Explanation

4

Add, expressing the result in simplest form:

Explanation

5

Add, expressing the result in simplest form:

Explanation

6

Add, expressing the result in simplest form:

Explanation

7

Subtract:

Explanation

When subtracting trinomials, first distribute the negative sign to the expression being subtracted, and then remove the parentheses:

Next, identify and group the like terms in order to combine them: .

8

Subtract:

Explanation

When subtracting trinomials, first distribute the negative sign to the expression being subtracted, and then remove the parentheses:

Next, identify and group the like terms in order to combine them: .

9

Find the difference:

Explanation

Find the difference:

Distribute the negative to the second trinomial:

Combine like terms:

10

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:

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