Algebra II : Quadratic Equations and Inequalities

Study concepts, example questions & explanations for Algebra II

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Example Questions

Example Question #1411 : Algebra Ii

Determine the discriminant for the function:  

Possible Answers:

 

Correct answer:

 

Explanation:

Write the formula for the discriminant.  This is the inner quantity of the square root of the quadratic formula.

The polynomial is already written in the form of:  

Identify the coefficients for .

Substitute these values to find the discriminant.

The discriminant is:   

Example Question #1412 : Algebra Ii

Determine the discriminant of:  

Possible Answers:

Correct answer:

Explanation:

The discriminant is the inner quantity of the radical of the quadratic formula.  

Write the expression for the discriminant.

The polynomial is already in  format.  Identify the coefficients of the polynomial.

Substitute these values to find the discriminant.

The discriminant is:  

Example Question #1411 : Algebra Ii

Determine the discriminant of the following equation:  

Possible Answers:

Correct answer:

Explanation:

Write the formula for the discriminant.  This is the term inside the square root of the quadratic equation.

The polynomial is written in the form:  

Substitute the values into the discriminant formula.

The answer is:  

Example Question #111 : Quadratic Equations And Inequalities

Find the discriminant for the quadratic equation

Possible Answers:

Correct answer:

Explanation:

The discriminant is found by using the formula . In this case:

Example Question #112 : Quadratic Equations And Inequalities

Find the discriminant for the quadratic equation

Possible Answers:

Correct answer:

Explanation:

The discriminant is found using the formula . In this case:

Example Question #113 : Quadratic Equations And Inequalities

Find the discriminant for the quadratic equation

Possible Answers:

Correct answer:

Explanation:

To find the discriminant, use the formula . In this case:

Example Question #114 : Quadratic Equations And Inequalities

Find the discriminant for the quadratic equation

Possible Answers:

Correct answer:

Explanation:

To find the discriminant, use the formula . In this case:

 

Example Question #1417 : Algebra Ii

Determine the discriminant of the quadratic:  

Possible Answers:

Correct answer:

Explanation:

The quadratic function is in the form of .

The discriminant is the term inside the square root of the quadratic function defined as:  

Identify the coefficients.

Substitute the values into the equation.

The answer is:  

Example Question #1418 : Algebra Ii

Determine the discriminant of the following polynomial:  

Possible Answers:

Correct answer:

Explanation:

Reorder the equation in  standard format.

The discriminant is the term inside the square root of the quadratic equation.

Identify and substitute the coefficients for each term of the polynomial in standard form.

The answer is:  

Example Question #1421 : Algebra Ii

Determine the discriminant:  

Possible Answers:

Correct answer:

Explanation:

Rewrite the equation in standard form.

In this format, we can identify the coefficients of a, b, and c.

The discriminant is the term inside the square root of the quadratic equation.

Substitute the known values and solve.

The answer is:  

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