malloriemaughan malloriemaughan
  • 25-07-2022
  • Mathematics
contestada

find the value of k.

(x^2+5x+k)/(x+6) has a remainder of 9.

if anyone could help, please do!! this is urgent!

Respuesta :

MrRoyal
MrRoyal MrRoyal
  • 26-07-2022

The value of k in the polynomial is 3

How to solve for k?

The quotient is given as:

(x^2+5x+k)/(x+6)

The remainder is 9

Set the denominator to 0

x + 6 = 0

Solve for x

x = -6

This means that:

f(-6) = 9

So, we have:

(-6)^2 + 5(-6) + k = 9

Evaluate

6+ k = 9

Subtract 6 from both sides

k = 3

hence, the value of k is 3

Read more about remainder at:

https://brainly.com/question/23940696

#SPJ1

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