High School Math : Understanding Quadratic Equations

Study concepts, example questions & explanations for High School Math

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Example Questions

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Example Question #1571 : High School Math

Solve the following equation using the quadratic form:

Possible Answers:

Correct answer:

Explanation:

Factor the equation and solve:

 or

Therefore there are four answers:

Example Question #281 : Algebra Ii

Solve the following equation using the quadratic form:

Possible Answers:

Correct answer:

Explanation:

Factor the equation and solve:

or

This has no solutions.

Therefore there is only one answer:

Example Question #3 : Quadratic Equations And Inequalities

Evaluate 

Possible Answers:

Correct answer:

Explanation:

In order to evaluate  one needs to multiply the expression by itself using the laws of FOIL.  In the foil method, one multiplies in the following order: first terms, outer terms, inner terms, and last terms.

Multiply terms by way of FOIL method.

Now multiply and simplify.

Example Question #1 : Using Foil

Evaluate 

Possible Answers:

Correct answer:

Explanation:

In order to evaluate  one needs to multiply the expression by itself using the laws of FOIL.  In the foil method, one multiplies in the following order: first terms, outer terms, inner terms, and last terms.  Be sure to pay attention to signs.

Multiply terms by way of FOIL method.

Now multiply and simplify, paying attention to signs.

Example Question #1 : Using Foil

Evaluate 

Possible Answers:

Correct answer:

Explanation:

In order to evaluate  one needs to multiply the expression by itself using the laws of FOIL.  In the foil method, one multiplies in the following order: first terms, outer terms, inner terms, and last terms.  Be sure to pay attention to signs.

Multiply terms by way of FOIL method.

Now multiply and simplify, paying attention to signs.

Example Question #6 : Quadratic Equations And Inequalities

Evaluate 

Possible Answers:

Correct answer:

Explanation:

In order to evaluate  one needs to multiply the expression by itself using the laws of FOIL.  In the foil method, one multiplies in the following order: first terms, outer terms, inner terms, and last terms.  Be sure to pay attention to signs.

Multiply terms by way of FOIL method.

Now multiply and simplify, paying attention to signs.

Example Question #7 : Quadratic Equations And Inequalities

FOIL .

Possible Answers:

Correct answer:

Explanation:

Remember FOIL stands for First Outer Inner Last. That means we can take  and turn it into .

Simplify to get .

Example Question #1 : Quadratic Equations And Inequalities

FOIL .

Possible Answers:

Correct answer:

Explanation:

 is the same thing as .

Remember that FOIL stands for First Outer Inner Last.

For this problem, that would be 

Simplify that to .

Example Question #9 : Quadratic Equations And Inequalities

FOIL .

Possible Answers:

Correct answer:

Explanation:

Remember that FOIL stands for First Outer Inner Last.

For this problem that would give us:

Simplify.

Example Question #1 : Understanding Quadratic Equations

FOIL .

Possible Answers:

Correct answer:

Explanation:

Remember that FOIL stands for First Outer Inner Last.

For this problem that would give us:

Simplify:

 

 

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