All Algebra II Resources
Example Questions
Example Question #281 : Intermediate Single Variable Algebra
Determine the discriminant of the quadratic:
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:
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:
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:
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, , is given in the standard form:
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 is already in the form of:
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 #121 : Understanding Quadratic Equations
Determine the discriminant of the following polynomial:
We will need to put this equation in standard parabolic form.
Subtract on both sides to move it to the right side.
The discriminant is defined as:
Substitute the coefficients of the equation in the standard form.
The answer is:
Example Question #281 : Intermediate Single Variable Algebra
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 , we do not have real roots.
If , we have real and equal roots.
If , we have real and unequal roots.
Complex roots are not real roots. This means the discriminant must be negative.
The answer is:
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