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 is the total market value of all goods and services produced in a country during a year?
What’s the least common denominator of 3/4 4/5 and 2/3
An airplane is accelerating forward due to a force of 3320 newtons acting on it. Then it encounters wind resistance that exerts a backward force of 550 newtons.
Look at the vector v plotted below. a. What is the length of the x-component of this vector? b. What is the length of the y-component of this vector? c. Describ
As you continue to add text at the end of a document, the text typed earlier will
Please help! Will give brainiest!! Apply the distributive property to factor out the greatest common factor. 24+28=
Solve for x going step by step .
Which graph shows the solution to the following system of linear inequalities? −7x + 2y ≤ −6 y > −3x + 4
Can Someone Help Me?
Free market economies distribute goods and services______ than command economies.