PSAT Math : Trinomials

Study concepts, example questions & explanations for PSAT Math

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Example Questions

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Example Question #21 : Polynomials

Factor the following expression completely:

Possible Answers:

Correct answer:

Explanation:

We must begin by factoring out from each term.

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

Thus, our final answer is:

Example Question #1 : How To Factor A Trinomial

Factor the following trinomial:

Possible Answers:

Correct answer:

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 #44 : Algebra

Factor the trinomial.

Possible Answers:

Correct answer:

Explanation:

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

Example Question #45 : Algebra

Possible Answers:

Correct answer:

Explanation:

Use the distributive property:

Combine like terms:

Example Question #46 : Algebra

Find the product:

Possible Answers:

Correct answer:

Explanation:

Find the product:

Step 1: Use the Distributive Property

Step 2: Combine like terms

Example Question #47 : Algebra

Find the product:

Possible Answers:

Correct answer:

Explanation:

Find the product:

Use the distributive property:

Example Question #51 : Algebra

Simplify:

Possible Answers:

 

Correct answer:

 

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 #51 : Algebra

Add, expressing the result in simplest form:

Possible Answers:

Correct answer:

Explanation:

Example Question #53 : Algebra

Add, expressing the result in simplest form:

Possible Answers:

Correct answer:

Explanation:

Example Question #721 : Psat Mathematics

Add, expressing the result in simplest form:

Possible Answers:

Correct answer:

Explanation:

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