# Algebra II : Quadratic Roots

## Example Questions

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### Example Question #11 : Quadratic Roots

Write a quadratic function in standard form with roots of -1 and 2.

Explanation:

From the zeroes we know

Use FOIL method to obtain:

### Example Question #321 : Intermediate Single Variable Algebra

Select the quadratic equation that has these roots:

None of these.

Explanation:

FOIL the two factors to find the quadratic equation.

First terms:

Outer terms:

Inner terms:

Last terms:

Simplify:

### Example Question #13 : Quadratic Roots

Solve for a possible root:

Explanation:

Write the quadratic equation.

The equation  is in the form .

Substitute the proper coefficients into the quadratic equation.

The negative square root can be replaced by the imaginary term .  Simplify square root 60 by common factors of numbers with perfect squares.

Simplify the fraction.

A possible root is:

### Example Question #14 : Quadratic Roots

Solve for the roots, if any:

Explanation:

Pull out a common factor of negative four.

The term inside the parentheses can be factored.

Set the binomials equal to zero and solve for the roots.  We can ignore the negative four coefficient.