Using a given zero to write a polynomial as a product of linear factors.

Algebra
Tutor: None Selected Time limit: 1 Day

For the polynomial below, 3 is a zero.

f(x)= 3x^3 - 10x^2 + x + 6

Express f(x) as a product of linear factors.

Use fractions or square roots, not decimals.

Oct 17th, 2015

Thank you for the opportunity to help you with your question!

Since 3 is a zero, then (x - 3) is a factor

We then divide x - 3 into 3x^3 - 10x^2 + x + 6 to find the other factors.

After division we get

x^2 - x - 2   which we can factor into

(x - 2)(x + 1)

Therefore,

f(x) = (x - 3)(x - 2)(x + 1)

Please let me know if you need any clarification. I'm always happy to answer your questions.
Oct 17th, 2015

Did you know? You can earn $20 for every friend you invite to Studypool!
Click here to
Refer a Friend
...
Oct 17th, 2015
...
Oct 17th, 2015
Dec 10th, 2016
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer