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.
Answer:
, 
, 
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form 
or 
Find the value of the constant of proportionality k
take any ordered pair from the data
For x=25, y=160
substitute the values of x and y
simplify
The linear equation is equal to
or
Answer:60/15=4
So 10 miles in 15 min = 40 in 60 min or 30 in 45.
Step-by-step explanation:
Answer: 1.2(7x - 6y) is equivalent to 8.4x- 7.2y
Step-by-step explanation:
took the test
Answer:that is a acute angle therefore it would be less then 90
Step-by-step explanation:hope that helped with at least something
