11-07-2018
Mathematics

contestada

If (x+2) is a factor of x3-6x2+kx+10, k=

Respuesta :

konrad509 konrad509

11-07-2018

If [tex](x-a)[/tex] is a factor of a polynomial, then [tex]a[/tex] is its root.

So, -2 is a root of [tex]x^3-6x^2+kx+10[/tex].

Therefore
[tex](-2)^3-6\cdot(-2)^2+k\cdot(-2)+10=0\\ -8-24-2k+10=0\\ 2k=-22\\ k=-11 [/tex]

Answer Link

Otras preguntas

I need help with piecewise functions. How to find the domain and range and how to write it notation.

125 pounds decreased by 4% is

Bill made 5 gallons of fruit punch. If 1/4 of punch was cranberry juice, how much cranberry juice did he use?

Bill made 5 gallons of fruit punch. If 1/4 of punch was cranberry juice, how much cranberry juice did he use?

What is the median cost of 26$, 35$, and 50$

how many occupied orbitals does a fluorine atom contain in the ground state?

125 pounds decreased by 4% is

Why was white America so fascinated by Harlem in the 1920s

I need help with piecewise functions. How to find the domain and range and how to write it notation.

A square has a perimeter of 64 inches What is the length of one side if the square? What is the area of the square??