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EXPLORING ADDING AND SUBTRACTING POLYNOMIALS

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Add and subtract by combining like terms and by using “adding zero” where needed.

  (Add 3 zero pairs of x so you can subtract 3x)
combine like terms  

Try these:

Exploring Polynomial Subtraction

Instructions for pairs:

Partner 1: a. should place algebra tiles that represent a trinomial on the desk.
b. should sketch the tiles in the space provided.
c. should write the resulting trinomial in the space provided.

Partner 2: a. should subtract a few tiles from the desk.
b. sketch what tiles remain in the model.
c. write the resulting polynomial in the space provided.

Repeat this process switching places each time until each person has been partner 1
twice.

Partner 1

Trinomial_________________________
Partner 2

Polynomial ______________________
Partner 1

Trinomial_________________________
Partner 2

Polynomial ______________________
Partner 1

Trinomial_________________________
Partner 2

Polynomial ______________________
Partner 1

Trinomial_________________________
Partner 2

Polynomial ______________________

EXPLORING MULTIPLYING POLYNOMIALS

Try these examples:

EXPLORING MULTIPLYING BINOMIALS

Try these examples:

EXPLORING FACTORING POLYNOMIALS

In order to factor polynomials, put your algebra tiles into a rectangular array. You may need to
add zero pairs to complete your model.

Ex. Factor
What should be on the
left hand side?
above?
Factor


 


Factor

Notice I had to
add a zero
-pair (x & –x).

Factor each problem.