A community for students.
Here's the question you clicked on:
 0 viewing
haterofmath
 2 years ago
Find all rational zeros of the polynomial.
P(x) = x^3 + 6x^2 − 32
haterofmath
 2 years ago
Find all rational zeros of the polynomial. P(x) = x^3 + 6x^2 − 32

This Question is Closed

Stiwan
 2 years ago
Best ResponseYou've already chosen the best response.0A good trick whenever you have to find rational zeroes of a polynomial is to try all factors of the term without an x (In this case 32). For example, try x = 2.

Stiwan
 2 years ago
Best ResponseYou've already chosen the best response.0I don't know if you're aware of it, but every polynomial can be rewritten in the following form: \[a_n x^n + a_{n1}x^{n1} + ... + a_1 x + a_0 = (x  x_1) \cdot (x  x_2 ) *...*(x  x_n)\] where x_1, x_2, ..., x_n are the zeroes of the polynomial. Looking at these you can see that \[a_0 = x_1 * x_2 * ... * x_n\] Hence any rational zero of p(x) must be a factor of a_0. Also, if you have found a zero, let's call it x_1, you can divide your original polynomial by (xx_1) and the zeroes of the resulting polynomial are the remaining ones of your original polynomial

amoodarya
 2 years ago
Best ResponseYou've already chosen the best response.0dw:1357856688059:dw

amoodarya
 2 years ago
Best ResponseYou've already chosen the best response.0dw:1357856862910:dw
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.