# Dividing Polynomials by Monomial

# Dividing Polynomials by Monomials

Write the following polynomials in Standard Form:

Determine the degree of the above polynomials:

a)

b)

c)

What is the leading coefficient of the above polynomials?

a)

b)

c)

Calculate the above polynomials accordingly and write them in standard form:

1.) a + b

2.) b - c

3.) a x b

**Handout #1
Divide**

**Handout #2
Divide**.

** Algebra Tiles Handout**

Use algebra tiles to model division of polynomials .

Divide x ^{2} + 4x + 4 by x + 3 using the following steps:

1) Use algebra tiles to model x^{2} + 4x + 4. (Draw model below)

2) Use the tiles to create a length of x + 3. ( Draw below )

3) Keeping x + 3 as the length, try to create a rectangle
that uses all the tiles from step

1. ( Draw below ) Explain whether or not all tiles can be used and why or why not.

**Review Handout
(KEY)**

Write the following polynomials in Standard Form:

Determine the degree of the above polynomials:

a) Degree of 3.

b) Degree of 12.

c) Degree of 11.

What is the leading coefficient of the above polynomials:

a) Leading coefficient is 6.

b) Leading coefficient is 60.

c) Leading coefficient is 77.

Calculate the above polynomials accordingly and write them in standard form:

**Handout #1
(KEY)**

1.4 | 2. |

3. | 4. |

5. | 6. |

7. | 8. |

9. | 10. |

11. | 12. |

13. | 14. |

**Handout #2
(KEY)**

** Algebra Tiles Handout
(KEY)**

Use algebra tiles to model division of polynomials .

Divide x

^{2}+ 4x + 4 by x + 3 using the following steps:

4) Use algebra tiles to model x

^{2}+ 4x + 4. (Draw model below)

5) Use the tiles to create a length of x + 3. ( Draw below )

6) Keeping x + 3 as the length, try to create a rectangle
that uses all the tiles from step

1. (Draw below) Explain whether or not all tiles can be used and why or why not.

X + 3 does not divide evenly into x^{2} + 4x + 4.

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