Let A and B be subsets of R. (a) If x ∈ (A ∩ B)c, explain why x ∈ Ac ∪ Bc. This shows that (A ∩ B)c ⊆ Ac ∪ Bc. 12 Chapter 1. The
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ANSWER
The remainder is
EXPLANATION
Let
We shall apply the remainder theorem to obtain the remainder when
is divided by
According to the remainder theorem, if a polynomial
is divided by
then the remainder is
So we set
and solve for
to obtain,
We now substitute -5 into the given polynomial to find the remainder.
This gives us,
This will simplify to,
Therefore the remainder is
The remainder is
EXPLANATION
Let
We shall apply the remainder theorem to obtain the remainder when
is divided by
According to the remainder theorem, if a polynomial
is divided by
then the remainder is
So we set
and solve for
to obtain,
We now substitute -5 into the given polynomial to find the remainder.
This gives us,
This will simplify to,
Therefore the remainder is