nlutz
nlutz
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
VER TODAS LAS RESPUESTAS ( 87+ )
Otras preguntas
Who first used the chariot as a weapon? the Mycenaeans the Egyptians the Hittites the Sumerians
How was the Civil Rights Movement bot violent and non? Which was more effective?
which is greater 0.55 or 2/5 or 0.46
A line in the Cartesian plane passes through the points (–2, 4) and (2, –1). What are the rise and the run of the line
What components of a food label can help consumers compare the amounts of nutrients in a food to the amount of that nutrient that’s recommended for consumption
Why does the energy of a sound wave decrease over time
How are the Senate leaders chosen?
whats geographic barriers separate India from the rest of the continent
Mr. Hogan's class has 16 students in it. On picture day 5 students stand in the first row, 4 students stand in the second row, 3 students stand in the third row
According to the above law, which of the following statements is true? Violence towards slaves was not tolerated under any circumstances. Masters were allowed
