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

Does the depth of a pan affect how water freezes?

Solving systems by elimination: 2x + 4y = -4 3x + 5y = -3 Please show me your work so I can do the rest myself. Thanks!

is it possible for a distance versus-time graph to be a vertical line?

in an expression(8/9) squared (-81)+3/5dividedby-9/10

in what ways is climate controlled by the sun and the water cycle ?

If the speed of an object is tripled, its kinetic energy will be

A 1 digit number and a 3 digit number have a sum of 205. The same two number have a difference of 195, a product of 1,000 and a quotient of 40. What are the t

When was World War I?

How does transpiration play a role in the water cycle ?

What is two thirds minus six thirds