See explanation below.
Explanation:
The 'difference between roots and factors of an equation' is not a straightforward question. Let's define both to establish the link between the two..
Assume we have some function of a single variable
x
;
we'll call this
f
(
x
)
Then we can form an equation:
f
(
x
)
=
0
Then the "roots" of this equation are all the values of
x
that satisfy that equation. Remember that these values may be real and/or imaginary.
Now, up to this point we have not assumed anything about
f
x
)
. To consider factors, we now need to assume that
f
(
x
)
=
g
(
x
)
⋅
h
(
x
)
.
That is that
f
(
x
)
factorises into some functions
g
(
x
)
×
h
(
x
)
If we recall our equation:
f
(
x
)
=
0
Then we can now say that either
g
(
x
)
=
0
or
h
(
x
)
=
0
.. and thus show the link between the roots and factors of an equation.
[NB: A simple example of these general principles would be where
f
(
x
)
is a quadratic function that factorises into two linear factors.
Answer:
Step-by-step explanation:
what?
Answer:
You can prove this statement as follows:
Step-by-step explanation:
An odd integer is a number of the form 
where 
. Consider the following cases.
Case 1. If 
is even we have: 
.
If we denote by 
we have that 
.
Case 2. if is odd we have: 
.
If we denote by 
we have that
This result says that the remainder when we divide the square of any odd integer by 8 is 1.
Answer:
C= to find x, add the given angles
Step-by-step explanation:
