Algebra 1 : Polynomials

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #4652 : Algebra 1

Factor the following polynomial: .

Possible Answers:

Correct answer:

Explanation:

Because the  term has a coefficient, you begin by multiplying the  and the  terms () together: 

Find the factors of  that when added together equal the second coefficient (the  term) of the polynomial: 

There are four factors of , and only two of those factors, , can be manipulated to equal  when added together and manipulated to equal  when multiplied together:  

Example Question #4653 : Algebra 1

Factor:  

Possible Answers:

Correct answer:

Explanation:

For each term in this expression, we will notice that each shares a variable of .  This can be pulled out as a common factor.

There are no more common factors, and this is the reduced form.

The answer is:  

Example Question #4654 : Algebra 1

Factor:  

Possible Answers:

Correct answer:

Explanation:

For each term in this expression, we will notice that each shares a variable of .  This can be pulled out as a common factor.

There are no more common factors, and this is the reduced form.

The answer is:  

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