Algebra 2 Companion Book, Volume 2

6.1.2 Adding and Subtracting Polynomials - Practice

2.  Add.

1.  Add or subtract.

(5 c 5 − c 3 ) + ( c 5 + 4 c 3 − 3)

4 m 2 − 10 m 3 − 3 m 2 + 20 m 3

4.  Subtract.

3.  Subtract.

( m 2 + n 2 ) − (4 m 2 + 7 n 2 )

(10 d 4 − d 3 ) − ( d 4 + 5 d 3 − 1)

6.  A company distributes its product by train and by truck. The cost of

5.  Subtract.

( z 4 + 5 z 2 − 2 z ) − ( z 2 + 3 z 4 − z − 6)

distributing by train can be modeled as − 0.07 x 2 + 40 x − 105, and the cost of distributing by truck can be modeled as − 0.03 x 2 + 22 x − 180, where x is the number of tons of product distributed. Write a polynomial that represents the difference between the cost of distributing by train and the cost of distributing by truck.

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