Answer:
For , the group is CLOSED as it a polynomial.
Step-by-step explanation:
Here, the given polynomials are:
Now, a group G is said to be <u>CLOSED UNDER SUBTRACTION</u> if,
a and b are he elements of G ⇒ (a-b) is ALSO AN ELEMENT of G
Now, here:
or,
Also, R(x) is a POLYNOMIAL.
So, R(x) is an Element of group G.
So, the set G of polynomials.
Hence, for the polynomial , it will be a polynomial the group is CLOSED.
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8320 cubes can fit into the prism.
Solution:
Convert mixed fraction into improper fraction.
Length of the prism = 20 in
Width of the prism = 2 in
Height of the prism = in
Volume of the prism = length × width × height
= 130 in³
Volume of the prism = 130 in³
Length of the cube = in
Volume of the cube = length × length × length
Volume of the cube = 0.015625 in³
= 8320
Number of cubes = 8320
Hence 8320 cubes can fit into the prism.