Dividing a Polynomial By a Monomial. Lesson 27(2). Things to Remember. When dividing Polynomials by a monomial, remember to divide each term in the numerator by the term in the denominator .
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Dividing a Polynomial
By a Monomial
Lesson 27(2)
5x2 – 10x
5
Simplify,
Divide each term in the numerator by the term in the denominator.
5x2
5
10x
5

=
=
x2 – 2x
3b3 – 6b2 + 9b
6b
Simplify,
Divide each term in the numerator by the term in the denominator.
3b3
6b
6b2
6b
9b
6b

=
+
b2
2
3
2
=
Remember that you can have a fraction in your answer, just reduce.
 b +
5x2 – 10x
5
5(x2 – 2x)
5
Factored the numerator. GCF = 5
=
The 5 in the numerator cancels out the 5 in the denominator.
5(x2 – 2x)
5
=
=
x2 – 2x
3b3 – 6b2 + 9b
6b
Factored the numerator. GCF = 3b
3b(b2 – 2b + 3b)
6b
=
Factored the monomial in the denominator.
3b(b2 – 2b + 3b)
3b(2)
=
The 3b in the numerator cancels out the 3b in the denominator.
3b(b2 – 2b + 3b)
3b(2)
=
Continued next slide
3b(b2 – 2b + 3b)
3b(2)
(b2 – 2b + 3b)
2
=
Divide each term in the numerator by the term in the denominator.
b2 – 2b + 3b
2 2 2
=
3b
2
=
b2
2
 b +
Remember that you can have a fraction in your answer, just reduce.
YOU TRY!
FACTOR COMPLETELY
9x2 – 6x
3
12b3 – 18b2 + 36b
6b
YOU TRY!
FACTOR COMPLETELY
2x3 – 4x2 + 6x
4x
15x3 – 5x2 + 10x
5x