Mr.
Belvedere
Math
9
Name:______________________________
Dividing
Polynomials
Worksheet
1. Divide
the
following
‘monomials’
(one
term
÷ one
term):
4x
a.
=
_______________
2
12x 2
€e.
4 x 2 =
_______________
€
6x 2
b.
=
_______________
2x
€
12y 2
c.
=
_______________
€
−3y
12x 2 y 3
g.
=
_______________
6x y 3
€
−15y 3
d.
=
_______________
€
3y 2
−4 x 5 y 2
h.
=
_______________
2x 5 y
€
−24 x 6
f.
=
_______________
6x 4
2. Divide
the
following
binomials
by
the
monomial
denominators:
€
€
4x + 6
a.
=
_______________
2
8x 2 + 8x
e.
=
_______________
4x
€
6x 2 + 2x
b.
=
_______________
2x
€
−24 x 6 + 18x 5
f.
=
_______________
6x 3
12y 2 − 9y
c.
=
_______________
€
−3y
12x 2 y 3 − 6y 5
g.
=
_______________
6y 3
€
€
−15y 3 −12y 2
€
d.
=
_______________
3y 2
€
€
−4 x 5 y 2 + 10x 3
h.
=
_______________
2x 2
3. The
area
of
a
rectangle
is
given
by
36x 3 .
If
the
width
of
the
rectangle
is
9x ,
what
is
the
length
of
the
rectangle?
€
€
4. If
you
divide
12x 2 by
2x and
you
also
divide
18x by
9 .
What
is
the
sum
of
those
two
quotients?
€
€
€
€
5. Determine
the
monomial
that
should
be
in
the
blank
space:
12x 5 − 6x 3 − 24 x 2
= 2x 3 − x − 4 (
)
€
6. The
trinomial
5x 2 + 6x + 7 is
the
result
of
another
trinomial
being
divided
by
2.
What
is
the
original
trinomial?
€
7. The
product
of
a
polynomial
and
the
monomial
2x is
12x 3 + 6x .
What
is
the
polynomial?
€
€