### All High School Math Resources

## Example Questions

### 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 : Solving Quadratic Equations

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 : Solving Quadratic Equations

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.

### Example Question #4 : Solving Quadratic Equations

Find the zeros.

**Possible Answers:**

**Correct answer:**

Factor out a from the entire equation. After that, you get . Factor the expression to . Set both of those equal to zero and your answers are and .

### Example Question #5 : Solving Quadratic Equations

Find the zeros.

**Possible Answers:**

**Correct answer:**

This expression is the difference of perfect squares. Therefore, it factors to. Set both of those equal to zero and your answers are and .

### Example Question #6 : Solving Quadratic Equations

Find the zeros.

**Possible Answers:**

**Correct answer:**

Factor the equation to . Set both equal to and you get and .

### Example Question #7 : Solving Quadratic Equations

Find the zeros.

**Possible Answers:**

**Correct answer:**

Factor a out of the quation to get

which can be further factored to

.

Set the last two expressions equal to zero and you get and .

### Example Question #8 : Solving Quadratic Equations

Find the zeros.

**Possible Answers:**

**Correct answer:**

Set each expression equal to zero and you get 0 and 6.

### Example Question #9 : Solving Quadratic Equations

Find the zeros.

**Possible Answers:**

**Correct answer:**

Set both expressions equal to . The first factor yields . The second factor gives you .

### Example Question #10 : Solving Quadratic Equations

Find the zeros.

**Possible Answers:**

**Correct answer:**

Set both expressions to and you get and .