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

Answer Link

Otras preguntas

a person who drives under the influence of alcohol or drugs
Which city is located near 45n 108w ?
A 20-kg barrel is rolled up a 20-m ramp to the back of a truck whose floor is 5.0 m above the ground. What work is done in loading one barrel into the truck?
Which character traits does Romeo exhibit that lead to his tragic downfall?
which of the following is a present in this paintingA. mostly warm, bright oranges and redsB. tactile texture the viewer can feelC. contrast in value between li
G find cartesian coordinates from polar coordinates given
What is the main reason the Earth is warmer at the equator than at the North and South Poles?
Once you begin to administer aid, you cannot leave the victim under any circumstances, unless your life is threatened.
Which of these is overconsumed in the united states A.) Salty overly processed goods B.) leafy green vegetables C.) Vitamin c D.) Sweet potatoes
Which leadership style is more compatible with cultures where power is unequal?