Algebra II : Discriminants
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Example Questions
Example Question #1422 : Algebra Ii
Determine the discriminant of the following function:
The discriminant refers to the term inside the square root of the quadratic function.
The polynomial, 
Substitute the known coefficients into the discriminant formula.
The answer is:
Example Question #1423 : Algebra Ii
Determine the discriminant of the following polynomial:
Reorganize the terms in order of high to lowest power.
This polynomial is then in the form of 
The discriminant is the term inside the square root of the quadratic equation.
Substitute the values into the equation.
The answer is:
Example Question #1424 : Algebra Ii
Determine the discriminant:
The discriminant is the term inside the square root of the quadratic equation.
The polynomial is provided in standard form 
Substitute the variables into the equation.
The answer is:
Example Question #1425 : Algebra Ii
Solve for the discriminant:
The discriminant is the term inside the square root of the quadratic equation.
Write the formula for the discriminant.
The equation 
Substitute the known coefficients into the discriminant equation.
The discriminant is:
Example Question #1426 : Algebra Ii
Determine the discriminant of:
The equation is given in the form of 
Write the formula for the discriminant.
Identify the coefficients.
Substitute the values into the equation.
The answer is:
Example Question #1427 : Algebra Ii
Determine the discriminant of the following polynomial:
We will need to put this equation in standard parabolic form.
Subtract 
The discriminant is defined as:
Substitute the coefficients of the equation in the standard form.
The answer is:
Example Question #1428 : Algebra Ii
Which of the following will best represent a discriminant with complex roots?
According the rule of discriminant, the expression value defines whether if we will have roots for a parabola or complex roots.
The discriminant is:
If 
If 
If 
Complex roots are not real roots. This means the discriminant must be negative.
The answer is:
Example Question #1429 : Algebra Ii
Evaluate the discriminant, if any:
The formula to determine the discriminant is:
To determine the discriminant, we will need to put the equation in standard form:
Add 
Subtract 
Reorder the terms on the left.
Divide by two on both sides.
The equation in standard form is:
The coefficients can be determined to calculate the discriminant.
Substitute the values into the formula.
The answer is:
Example Question #1430 : Algebra Ii
Determine the discriminant:
The formula for the discriminant is:
Given the polynomial in standard format, we can identify the coefficients of the polynomial to substitute into the equation.
Substitute all the numbers into the equation.
The answer is:
Example Question #1431 : Algebra Ii
Evaluate the discriminant:
Write the formula for the discriminant. The discriminant is the term inside the square root of the quadratic formula.
Determine the coefficients.
Substitute the terms into the formula.
The answer is:
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