Precalculus : Find the Sum and Product of the Zeros of a Polynomial

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.      Explanation:

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

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

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

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

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 .

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