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Example Question #1 : Find The Sum And Product Of The Zeros Of A Polynomial
Given , determine the sum and product of the zeros respectively.
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:
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:
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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