Average speed having travelled 40 miles in 2 hours.
1 answer:
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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)
Synthetic division yields
3 | 2 -11 18 -15
. | 6 -15 9
- - - - - - - - - - - - - - - - -
. | 2 -5 3 -6
which translates to
(and note that
We have to determine the complete factored form of the given polynomial
.
Let x= -1 in the given polynomial.
So,
So, by factor theorem
(x+1) is a factor of the given polynomial.
So, dividing the given polynomial by (x+1), we get quotient as .
So, = (x+1)
.
=
=
= is the completely factored form of the given polynomial.
Option D is the correct answer.