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:
the answer is 567
Step-by-step explanation:
20+30(11)+5+2(106)
20+330+5+212
= 567
F(x+1) = (x + 1)^3
= 3x + 3
= 3(0) + 3
= 3
I think is 3
I think the answer is 32x
The formula for the area of a trapezoid is 1/2 (b1 + b2) h
So, take your b1 and b2, 12 and 6, and add them together. You get 18.
Divide this by 2, and you get 9.
Now, multiply 9 by your height, which is 4.
9 x 4 = 36.
The area of the trapezoid is 36 square inches.