Given that x² -x -2 is a factor of x³ +3 x² +ax +b, calculate the values of a and b and hence find the remaining factor.

Remaining factor =

Step-by-step explanation:

Given that:

Two polynomials:

and

is a factor of .

To find:

The values of and from the cubic equation and the remaining factor.

Solution:

Let us first of all, factorize .

There are two factors of the given quadratic equation.

These two factors must also be factors of the cubic equation as well.

Putting :

Putting :

Subtracting (2) from (1):

From equation (1):

Putting the values of and in the cubic equation, we get:

Dividing the cubic equation with quadratic, we get:

median is the value separating the higher half of a data sample, a population or probablity distribution from the lower half.

step-by-step explanation:

say you have 3,8,7,3,1,9,8 order them from lowest to highest

if orderd it would be 1,3,3,7,8,8,9 now you take away from the lowest and the highest until you end up in the middle.

so you would remove the 1 and 9 leaving you with 5 digits remaining

when you've reached the middle that would be your answer so in this case the answer is 7

if there were two numbers left say 7 and 5 you'd and them together so 12 then divide by 2 witch would equal 6 so the answer would be 6

good luck on that project hoped i you at all

b

step-by-step explanation: