The simplified form is 6x+15y
Answer:
<h2>x = 8</h2>
Step-by-step explanation:
x³ - 3x² + 2x - 336 = 0
Find one factor of the polynomial
That's
x - 8
because when its value is equated to zero substituted into the polynomial will give you zero
Factorize x - 8 out
We have
(x - 8) ( x² + 5x + 42) = 0
x - 8 = 0
x = 8
x² + 5x + 42 = 0
Since the roots of this quadratic equation are complex and are not real numbers
<h3>x = 8</h3>
Hope this helps you
You can find the remainder right away by simply plugging in

. The polynomial remainder theorem guarantees that the value of

is the remainder upon dividing

by

, but I digress...
Synthetic division yields
3 | 2 -11 18 -15
. | 6 -15 9
- - - - - - - - - - - - - - - - -
. | 2 -5 3 -6
which translates to

(and note that

, as expected)