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.
You combine the numbers that have the same letter attached to them. Then you add or subtract the bumbers from each other to. After that you make the numbers and the numbers with letters into one equation
Ex: 13+5r+7r= 13+12r
Step-by-step explanation:
2w+w=3w If theres a letter by itself it means theres a 1.
You know that two expressions are equivalent when if you substitute in your values and simply the expressions, they have the same answer.
5 squared is 5^2.
Squared means the power of two, so exponent two.
The answer is 6 centimeters
