jesusssss1 jesusssss1
  • 06-07-2017
  • Mathematics
contestada

What is the possible number of negative real roots of the function
f(x) = x5 − 2x3 + 7x2 + 2x − 2?

Respuesta :

apologiabiology
apologiabiology apologiabiology
  • 06-07-2017
using I forgot who's thingummy math thing
change sign thing
ah, descartes rule of signs, thank you google


replace x with -x
simplify
count the number of times the sign changes between terms
if the number is 2 or more, keep subtracting 2 until you reach 0 or 1
so

if we replace x with -x we get
-x^5+2x^3+7x^2-2x-2
(-), (+), (+), (-), (-)
    2 changes
2-2=0

so 2 or 0 possible negative real roots
Answer Link

Otras preguntas

Limestone with holes like Swiss cheese physical or chemical weathering?
A molecule of water is made up of _____. three atoms two atoms one atom
Why did the delegates want to write a new plan instead of making changes to the articles of confederation?
Vesta, a minor planet in the Asteriod Belt between Mars and Jupiter, has a mean radius of 525 km and mass of 2.59 X 10^20 kg. The Dawn Spacecraft (m = 1240 kg)
Expand the following: 1/5 (10x - 25) Expanded: 1/5 x 10x + 1/5 x -25 (The x after the 1/5 is multiplication) Is this correct↑↑↑↑↑↑↑↑↑↑↑↑↑
Your family drives from Austin Texas to Tampa Florida. The trip is 1145 mi and lasts four days. How many miles should your family drive each day
What is the limitation of relative dating?
kay has $15 more than kim. Together they have $55. How much does each person have
jenny won the ping pong championship eight more times than gerardo. they have won a combined total of 32 championship
Simplify square root of 71