What is the remainder when the polynomial 5x2+10x−15 is divided by x + 5? Enter your answer in the box.
2 answers:
There are two ways you can approach this:
1) Factor this equals to
2) or divide which equals to 5x+35+
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
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