3x + 8 = 9 + 4x :First, subtract the 8 over to the right
3x = 1 + 4x :Then, subtract the 4x over to the left
-x = 1 :Then, divide the whole equation by the -1 attached to the x
<em><u>x = -1</u></em>
The remainder theorem says that the remainder upon dividing a polynomial
by a linear polynomial
is the same as the value of
at
. Dividing by any linear polynomial will always result in the following:
where
and
are also polynomials. Taking
, the term involving
vanishes, so that
is exactly the remainder upon dividing.
Via synthetic division, we have
... | 2 -9 7 -5 11
4 | 8 -4 12 28
- - - - - - - - - - - - - - - - - -
... | 2 -1 3 7 39
which translates to
that is, we're left with a remainder of 39.
Via the remainder theorem, we have
as expected.
=1 I calculated the combine value
Answer:
-3
Step-by-step explanation:
(x+3)(x-1) - x(x+2)
Foil the first term
First x^2
outer -x
inner 3x
last -3
Add them together
x^2 -x+3x-3 = x^2 +2x-3
x^2 +2x-3 - x(x+2)
Distribute the second term
x^2 +2x-3 -x^2 -2x
Combine like terms
-3