Carlson's Polynomials Day 3

Carlson's Polynomials Day 3

Multiplying a polynomial by a monomial

Student Objectives

• I can apply the distributive property to multiply a polynomial by a monomial.

• I can apply the product rule when multiplying exponents.

Distributive Property

Definition: The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.

Product Rule of Exponents

When we multiply exponents we add them!

x(x+4)

Multiply x by x and then by 4!

5m³(3m²-m-7)

Remember the Product Rule here!

Multiply 5m³ by each number in the parenthesis then combine!

Your turn to try!

10 questions

Fill in the Blanks

Simplify:

k(k-9)

Fill in the Blanks

Simplify:

3c⁵(-2c-5)

Fill in the Blanks

Simplify:

x(x² - x + 3)

Fill in the Blanks

Simplify:

-4g²(2g + 7)

Fill in the Blanks

Simplify:

-2x⁴(6x² - 12x + 18)

Poll

Halfway there! What mistakes are you learning from?

• Forgetting to add the exponents

• Forgetting to carry (-) signs

• I'm good!

• I know already I need help, see you in library!

Fill in the Blanks

Simplify:

3xy(x² + xy + y²)

Fill in the Blanks

Simplify:

3ab(4a² - 7b³)

Fill in the Blanks

Simplify:

-7c³d²(9c²d² - 4cd⁵)

Fill in the Blanks

Simplify:

10m⁴n(-2mn³ + 3n)

Fill in the Blanks

Simplify:

5w(-7w + 3) - 2w(13 - 9w²)

Poll

How do you feel you did?

• Great

• OK, I learned a lot

• Not great, I will get it with IXL

• I'm very lost, I will attend activity period!

HOMEWORK & CLASS WORK

• IXL - Algebra W6 (min score of 60)

  • ALL PROBLEMS MUST HAVE STEP BY STEP WORK UPLOADED TO DROPBOX