Seudónimo Seudónimo
  • 22-11-2020
  • Mathematics
contestada

Find all zeros of the polynomial P(x) = x3 - 3x2 - 10x + 24 knowing that x = 2 is a zero of the polynomial.

Respuesta :

mhanifa
mhanifa mhanifa
  • 22-11-2020

Answer:

  • x = 2, x = 4, x = -3

Step-by-step explanation:

Given

  • P(x) = x3 - 3x2 - 10x + 24
  • One of zeros is x = 2

To find

  • All zeros

Solution

x³ - 3x² - 10x + 24 is divisible by x - 2 as one of zeros is 2, then:

  • x³ - 2x² - x² + 2x - 12x + 24 =
  • (x - 2)(x² - x - 12) =
  • (x - 2)( x² - 4x + 3x - 12) =
  • (x - 2)(x - 4)(x + 3)

Other zeros are x = 4 and x = -3

Answer Link

Otras preguntas

How many ways are there to arrange five French club members for a yearbook photo if the president and vice president must be seated in front with the other thre
How can two substances be made up of the same two elements but have very different properties?
What's the answer to log1/3 27 = ?
What is your rate in miles/hour if you run at a speed of 2.2 miles in 20 minutes?
Assume that Angle A is an acute angle and TAN A = 1.230. the measure of Angle A equals:
how can I use the word poll in a sentence
what value of x makes the equation square root of x-5=4 true?
There are 100 pennies in a dollar. What fraction of a dollar is 61 pennies? Write it as a fraction, as a decimal,and in word form
-5x+y=-33x-8y=24solve this for me someone (solving systems of equations by substitutions)looking for x and y
5.89 5.899 <,>or = help