AREA OF SQUARE = SIDE * SIDE
==> (X-3)*(X-3) = (X-3)² = X²-6X+9 UNITS²
Because it is easily divisible by 2, 3, 4, 6, 8, 12 and itself
9514 1404 393
Answer:
-2x +4
Step-by-step explanation:
We can write the polynomial p(x) in terms of the factors (x+2) and (x-3) as ...
p(x) = (x+2)(x-3)q(x) +ax +b
Where ax+b is the remainder from division by x^2 -x -6 = (x+2)(x-3). The values of 'a' and 'b' can be found from ...
p(-2) = 8 = -2a +b
p(3) = -2 = 3a +b
Subtracting the first equation from the second gives ...
(3a +b) -(-2a +b) = (-2) -(8)
5a = -10
a = -2
Then the first equation tells us ...
8 = -2(-2) +b
4 = b
So, the remainder from division by (x^2 -x -6) is (-2x +4).
The width of the prism is 3 (the length is 9 and the height is 5, also 5x9x3 = 135)