hfkhan13
hfkhan13 hfkhan13
  • 02-10-2018
  • Mathematics
contestada

Factorise and solve : x^3-x^2-4x+4

Factorise and solve x3x24x4 class=

Respuesta :

jimrgrant1 jimrgrant1
  • 02-10-2018

(x - 1)(x - 2)(x + 2)

note that the sum of the coefficients 1 - 1 - 4 + 4 = 0

thus x = 1 is a root and (x - 1 ) is a factor

dividing x³ - x² - 4x + 4 by (x - 1)

x³ - x² - 4x + 4 = (x - 1)(x² - 4 ) (note (x² - 4 ) is a difference of squares )

x³ - x² - 4x + 4 = (x - 1)(x - 2)(x + 2)

(x - 1)(x - 2)(x + 2 ) =0

x - 1 = 0 ⇒ x = 1

x - 2 = 0 ⇒ x = 2

x + 2 = 0 ⇒ x = - 2

solutions are x = 1 or x = ± 2



Answer Link

Otras preguntas

Translate the phrase by finding the infinitive and conjugating it to match the subject. I skate. Yo ______
what is the answer??
PLEASE HELP!!! WILL MARK BRAINLIEST!!! #1 Marita uses the pan for corn bread. There is 3/4 inch of space left at the top of the pan when her corn bread is done
In Book 9 Homer is using_________ to tell Odysseus' story. A.) flashback B.) irony C.) foreshdowing D.) iambic pentameter
Choose the best Spanish equivalent to the phrase clean your room
need help much needed thanks​
What’s the answer to this?
A 44.0-kg child takes a ride on a Ferris wheel that rotates four times each minute and has a diameter of 20.0 m. (a) What is the centripetal acceleration of the
Find the value of x and y. A) x=109, y=108 B) x=108, y=109 C) x=108, y=108 D) x=109, y=109
what are the two most important heat is absorbing gases in the atmosphere?