ipmmxazrza
ipmmxazrza ipmmxazrza
  • 11-03-2021
  • Mathematics
contestada

What value of k would give a remainder of 6 when
x2 + kx + 18 is divided by x +4?

Respuesta :

Muscardinus Muscardinus
  • 16-03-2021

Answer:

k = 7

Step-by-step explanation:

Given that,

f(x) = x²+kx+18

We need to find the value of k that would give a remainder of 6 when f(x) is divided by (x+4).

We can find it using the remainder theorem.

Taking f(-4) as follows :

f(-4) = (-4)²+k(-4)+18 = 6

16-4k+18=6

16+18-6 = 4k

4k =28

k = 7

So, the value of k is equal to 7.

Answer Link

Otras preguntas

2 ( 4a - 12 ) + 3a = 6a + 1
Why did Henry Clay group his resolutions in pairs in the Compromise of 1850?
10u + 7 = 8 ( 2u - 4 ) - 9
on sara's computer, 3/8 of the hard drive is files. Of the files, 1/6 are games . What part of the hard drive is games?
36 is _______% less than 60?
What's breed of given cat???Check attachment
what are three ways water erodes the surface of earth
what type of rock is the Haystack rock (igneous, Metamorphic, or Sedimentary)
What's breed of given cat???Check attachment
two methods of active transport