The solution to the problem is as follows:
<span>x³ + x² − 6x = 0 </span>
<span>x (x² + x − 6) = 0 </span>
<span>x (x − 2) (x + 3) = 0 </span>
<span>x = 0, 2, −3 </span>
<span>f(x) = 2x³ + 5x² + 6x − 4 </span>
<span>f(−x) = −2x³ + 5x² − 6x − 4 </span>
<span>Let's look at signs only and how many sign changes there are: </span>
<span>f(x) = + + + − </span>
<span>1 sign change ----> 1 positive root </span>
<span>f(−x) = − + − − </span>
<span>2 sign changes ----> 2 or 0 negative roots </span>
<span>Min. number of real roots = 1 ----> max. number of complex roots = 2 </span>
<span>Max. number of real roots = 3 ----> min. number of complex roots = 0
</span>
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
Answer:
-7/5
Step-by-step explanation:
3(x + 1) + 2 (x + 2) >0
(3x + 3) + (2x + 2 * 2) >0
(3x + 3) + (2x + 4) >0
= -7/5
Answer:
The two positions on the number line are opposites.
Step-by-step explanation:
They are the same distance from zero on the number line.
9514 1404 393
Answer:
9.22
Step-by-step explanation:
The distance formula is ...
d = √((x2 -x1)^2 +(y2 -y1)^2)
Using the given coordinates, the distance between them is ...
d = √((8-(-1))^2 +(0 -(-2))^2) = √(9^2 +2^2) = √85 ≈ 9.22
The length of AB is about 9.22 units.
Answer:
If one is larger, there will be less stress on the middle of the object
Step-by-step explanation:
