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

What inference can you make from the passage the invisible man
Humus represents _____ of the soil composition to 5% b) 60% c) 25% d) 15% e) 50%
Please answer this correctly
did lincion want to fight at fort sumter
PLEASE HELP! Neil has been running a tutoring business since 2005. He charges a monthly fee for weekly tutoring sessions and a phone help line. Each year, he ha
Please help. I’ll mark you as brainliest if correct!
[tex]\frac{b^{-2} }{b^{4} }[/tex] in scientific notation
INEED YOUR HELP ASAP!!! For the expression 6 − y + 3, determine the coefficient for the variable term.
Which statement best describes the purpose of this law? 1.This law's purpose is to keep private citizens safe on the road. 2.This law's purpose is to ensure the
Identify the foil for each of the three main characters in the narrative American Born Chinese.