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.
144 seats are filled in the movie theater
Answer is choice C. The reason why is because we're simply moving parenthesis around to regroup terms
(10)(5x)(7) = (10*5)(x*7)
We've grouped up the 10 and 5 together; we've also grouped up the x and 7 together.
Side Note: The specific rule being used is the associative property of multiplication. Algebraically that rule is a*(b*c) = (a*b)*c
Answer:
Im not so sure but I think the "b" point there is a right angle.
Step-by-step explanation:
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The answer to your question is 7a.