2. Dividing a Polynomial by a Monomial
Divide each term of the polynomial by the monomial.
Example:

3. Don’t let the “term-mite” bite you!

4. Dividing a polynomial by a polynomial other than a monomial uses a “long division” technique that is similar to the process known as long division that you where taught in fourth grade.

5. We then write our result as
Divide 43 into 72.
We then write our result as
Multiply 1 times 43.
Subtract 43 from 72.
Bring down 5.
Divide 43 into 295.
Multiply 6 times 43.
We check
Subtract 258 from 295.
Bring down 6.
Divide 43 into 376.
Multiply 8 times 43.
Subtract 344 from 376.
Nothing to bring down.

6. 15 - 35 - x -( ) -( ) So our answer is Divide 28x2 divided by 7x
Multiply 4x times 7x + 3.
Subtract 28x2 + 12x from 28x2 – 23x.
Bring down – 15.
-( ) 15 -
Divide –35x divided by 7x. 35 - x
Multiply – 5 times 7x + 3.
Subtract –35x – 15 from –35x – 15.
-( )
Nothing to bring down.
So our answer is

7. Quotient
Dividend
Divisor

9. a) b) c)