Step-by-step explanation:
An expression which contains coefficients, variables, non-negative integer exponents and constants is known as a polynomial.
For example, is a polynomial
where coefficient of = 1
coefficient of x = -5
constant = 4
variable = x
and exponent = 2
Degree of a polynomial is the highest power of variable in an expression.
In the above example, that is, has a highest power of 2.
Degree of a polynomial tells about the number of roots a polynomial will have. Thus, we can conclude that has degree 2 which means it will have 2 roots.
A polynomial with degree 3 with have 3 roots, a polynomial with degree 4 with have 4 roots, and so on. A degree will always be a non-negative integer.
Answer:
Explanation:
All the other expressions can be factorized. Let's see why:
1)
This is the sum of the cubes, and this can be factorized as follows:
In this case, a=m and b=1, so we can factorize as
2)
This is the difference between two cubes, and this can be factorized as follows:
In this case, a=m and b=1, so we can factorize as
3)
This is the difference between two square numbers, and it can be factorized as follows
In this case, a=m and b=1, so we can factorize as
Volume of Solids
The volume of the solid is 758.83 in³
Step-by-step explanation:
Given that the cone and half sphere is hollow
The volume of the cone =
The Volume of the sphere =
So the Volume of the half sphere =
The volume of solid = volume of cone + volume of the half sphere
Given
height h = 19 in
radius r = 5 in
=
= 1/3 × 3.14 × 5 × 5 × 19
= 497.16 in³
= 2/3 × 3.14 × 5 × 5 × 5
= 261.67 in³
V = 497.16 in³ + 261.67 in³
= 758.83 in³
Hence the volume of the solid is 758.83 in³