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.
If the ^ is a divided sign then 5x if it’s a multiplication sign 20x! Don’t forget Order of operations.
Not sure if I'm right but I think it's 3(x - 6) (x^2 + 5x)
Step-by-step explanation:
3x^3 - 3x^2 - 90x
Apply GCF: 3 (x^3 - x^2 - 30)
Split 30 into -6 and 5
(x^3 - 6x^2) (5x^2 - 30x)
GCF of both: x^2 (x - 6) and 5x (x - 6)
DON'T FORGET TO CARRY THE 3
And your answer is 3 (x - 6) (x^2 + 5x)
To find the inverse function, interchange the variables and solve for y.
h^-1 (x) = -9 - 3x/2
Answer:
Thanks for asking!
Step-by-step explanation:
The answer is D
