### All Precalculus Resources

## Example Questions

### Example Question #1 : Find The Sum And Product Of The Zeros Of A Polynomial

Given , determine the sum and product of the zeros respectively.

**Possible Answers:**

**Correct answer:**

To determine zeros of , factorize the polynomial.

Set each of the factorized components equal to zero and solve for .

The sum of the roots:

The product of the roots:

### Example Question #2 : Find The Sum And Product Of The Zeros Of A Polynomial

Please choose the best answer from the following choices.

Find the sum and product of the zeros of the following polynomial:

**Possible Answers:**

**Correct answer:**

To find the zeros you have to factor the polynomial.

This is easily factorable and you will get and .

Next, set both of these equal to zero. and .

Isolate the x's and you will get and .

The sum will be since you add the two together, and the product will be because you multiply the two together.

### Example Question #3 : Find The Sum And Product Of The Zeros Of A Polynomial

Please choose the best answer from the following choices.

Find the sum and product of the zeros of the following polynomial:

**Possible Answers:**

**Correct answer:**

Factoring the polynomial will give you and .

The zeros of these binomials will be and .

If you add these together (sum) you get and if you multiply them together (product) you get .