Algebra 1 : Polynomial Operations

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #4362 : Algebra 1

Simplify the following:

Possible Answers:

Correct answer:

Explanation:

To solve this problem, first distribute anything through parentheses that needs to be distributed, then combine all terms with like variables (i.e. same variable, same exponent):

Example Question #4363 : Algebra 1

Simplify the following:

Possible Answers:

Correct answer:

Explanation:

To solve this problem, first distribute anything through parentheses that needs to be distributed, then combine all terms with like variables (i.e. same variable, same exponent):

Example Question #4364 : Algebra 1

Simplify the following:

Possible Answers:

Correct answer:

Explanation:

To solve this problem, first distribute anything through parentheses that needs to be distributed, then combine all terms with like variables (i.e. same variable, same exponent):

Example Question #136 : Variables

Subtract the following polynomials:

Possible Answers:

Correct answer:

Explanation:

Subtracting polynomials is very simple. Once we've changed the sign for the polynomial right of the subtraction sign, the problem becomes a matter of collecting like terms.

we've changed the sign of every term of the polynomial right of the subtraction sign because we've distributed the subtraction sign to get rid of the parentheses.

Now we can collect like terms to solve for the final answer. 

Example Question #74 : Polynomial Operations

Find the difference of the following polynomials:

Possible Answers:

Correct answer:

Explanation:

Subtracting polynomials is very simple. Once we've changed the sign for the polynomial right of the subtraction sign, the problem becomes a matter of collecting like terms.

we've changed the sign of every term of the polynomial right of the subtraction sign because we've distributed the subtraction sign to get rid of the parentheses.

Now we can collect like terms to solve for the final answer. 

Example Question #4365 : Algebra 1

Simplify the following:

Possible Answers:

Correct answer:

Explanation:

To solve this problem, first distribute anything through parentheses that needs to be distributed, then combine all terms with like variables (i.e. same variable, same exponent):

Example Question #71 : Polynomial Operations

Simplify the following:

Possible Answers:

Correct answer:

Explanation:

To solve this problem, first distribute anything through parentheses that needs to be distributed, then combine all terms with like variables (i.e. same variable, same exponent):

Example Question #72 : Polynomial Operations

Simplify the following:

Possible Answers:

Correct answer:

Explanation:

To solve this problem, first distribute anything through parentheses that needs to be distributed, then combine all terms with like variables (i.e. same variable, same exponent):

Example Question #73 : Polynomial Operations

Simplify the following:

Possible Answers:

Correct answer:

Explanation:

To solve this problem, first distribute anything through parentheses that needs to be distributed, then combine all terms with like variables (i.e. same variable, same exponent):

Example Question #32 : How To Subtract Polynomials

Subtract the polynomials  and .  

Possible Answers:

Correct answer:

Explanation:

Write the problem as an expression.   Remember to brace both polynomials with parentheses since we are subtracting by the quantity.

Remove the parentheses.  Simplify by distributing the negative sign through the second polynomial.

Combine like-terms.

The answer is:  

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