Given:
The expression is:

It leaves the same remainder when divided by x -2 or by x+1.
To prove:

Solution:
Remainder theorem: If a polynomial P(x) is divided by (x-c), thent he remainder is P(c).
Let the given polynomial is:

It leaves the same remainder when divided by x -2 or by x+1. By using remainder theorem, we can say that
...(i)
Substituting
in the given polynomial.


Substituting
in the given polynomial.



Now, substitute the values of P(2) and P(-1) in (i), we get




Divide both sides by 3.


Hence proved.

this is the correct way to solve these types of exercises
then we will try to do the same where a is (6+9x) and b is 24

and solve the right inequality for x

subtract 6 for all expression

now divide on 9

ok, this means that the x values will be from -10/3 to 2 including these
Graph
solution is the red zone
The answer is Answer 30 i think
Yes.
3y=2x +1
3 (1) = 2 (1) +1
(3,3)
(1,1) is a solution