### All High School Math Resources

## Example Questions

### Example Question #3 : Understanding The Discriminant

Use the discriminant to determine the nature of the roots:

**Possible Answers:**

imaginary root

real roots

Cannot be determined

imaginary roots

real root

**Correct answer:**

imaginary roots

The formula for the discriminant is:

Since the discriminant is negative, there are imaginary roots.

### Example Question #4 : Understanding The Discriminant

Given , what is the value of the discriminant?

**Possible Answers:**

**Correct answer:**

In general, the discriminant is .

In this particual case .

Plug in these three values and simplify:

### Example Question #1 : Understanding Quadratic Roots

Write an equation with the given roots:

**Possible Answers:**

**Correct answer:**

To write an equation, find the sum and product of the roots. The sum is the negative coefficient of , and the product is the integer.

Sum:

Product:

Subtract the sum and add the product.

The equation is:

Multiply the equation by :

### Example Question #2 : Understanding Quadratic Roots

Write an equation with the given roots:

**Possible Answers:**

**Correct answer:**

To write an equation, find the sum and product of the roots. The sum is the negative coefficient of , and the product is the integer.

Sum:

Product:

Subtract the sum and add the product.

The equation is:

### Example Question #3 : Understanding Quadratic Roots

Write an equation with the given roots:

**Possible Answers:**

**Correct answer:**

To write an equation, find the sum and product of the roots. The sum is the negative coefficient of , and the product is the integer.

Sum:

Product:

Subtract the sum and add the product.

The equation is:

### Example Question #4 : Understanding Quadratic Roots

Write an equation with the given roots:

**Possible Answers:**

**Correct answer:**

Sum:

Product:

Subtract the sum and add the product.

The equation is:

Multiply the equation by :

### Example Question #5 : Understanding Quadratic Roots

Write an equation with the given roots:

**Possible Answers:**

**Correct answer:**

Sum:

Product:

Subtract the sum and add the product.

The equation is:

### Example Question #1 : Finding Roots

Find the zeros.

**Possible Answers:**

**Correct answer:**

Factor the equation to . Set both equal to zero and you get and . Remember, the zeros of an equation are wherever the function crosses the -axis.

### Example Question #2 : Finding Roots

Find the zeros.

**Possible Answers:**

**Correct answer:**

Factor out an from the equation so that you have . Set and equal to . Your roots are and .

### Example Question #3 : Finding Roots

Find the zeros.

**Possible Answers:**

**Correct answer:**

Set equal to zero and you get . Set equal to zero as well and you get and because when you take a square root, your answer will be positive and negative.