TBrainly TBrainly
  • 22-02-2022
  • Mathematics
contestada

X+2 is a factor of x^3- kx^2 +3x+7k. Find the value of k.

Respuesta :

jimthompson5910 jimthompson5910
  • 22-02-2022

Answer:  k = 14/3

Explanation:

If x+2 is a factor of the other polynomial mentioned, then x = -2 is a root of that polynomial.

This means plugging x = -2 into the cubic expression will have it result in zero.

x^3- kx^2 +3x+7k = y

(-2)^3- k*(-2)^2 +3*(-2)+7k = 0

-8 - 4k - 6 + 7k = 0

3k - 14 = 0

3k = 14

k = 14/3

Answer Link

Otras preguntas

Solve x: Log5 (30) = x
What style of art represents people or objects exactly as they appear in life? realism impressionism cubism romanticism
What is the purpose of a biography? A. to reveal personal stories that entertain the reader B. to explain events a person's life in an interesting and informati
Which of the following organisms is most likely to survive? A. the producers in a food web B. the top carnivore in a food chain C. a herbivore in a food chain
In the 10th and 11th centuries CE, Christianity was most likely to be adopted by monarchs in which region
work out the volume of a cube of edge 2m
work out the volume of a cube of edge 2m
distance from the center of a compact disc to the edge of the disc 6 centimeters. what is the area of the compact disc
How does kinetic energy affect the stopping distance of a small vehicle compared to a large vehicle?
Which artist of the northern European Renaissance, shown in this self-portrait, was also a block printer and engraver?