6.1.2 Adding and Subtracting Polynomials - Worksheet
Example 1: Add. 1. (5 n 3 + 3 n + 6) + (18 n 3 + 9)
2. (3.7 q 2 − 8 q + 3.7) + (4.3 q 2 − 2.9 q + 1.6)
3. ( − 3 x + 12) + (9 x 2 + 2 x − 18)
4. (9 x 4 + x 3 ) + (2 x 4 + 6 x 3 − 8 x 4 + x 3 )
Example 2: 5. Write a polynomial that represents the measure of angle ABD .
C
( 8 a 2 – 2 a + 5 ) °
A
(7a + 4)°
B
D
Example 3: Find the opposite of each polynomial. 6. 0.32 r 3 + 0.19 r 4
7. 9 y 2 − 6 x 2
8. − 4 + w − 2 z
Example 4: Subtract. 9. (6 c 4 + 8 c + 6) − (2 c 4 )
10. (16 y 2 − 8 y + 9) − (6 y 2 − 2 y + 7 y )
11. (2 r + 5) − (5 r − 6)
12. ( − 7 k 2 + 3) − (2 k 2 + 5 k − 1)
Example 5: 13. The length of line segment AC is (15 x − y ) cm and the length of line segment AB is (8 x + 3 y − 1) cm. Write a polynomial that represents the length of line segment BC.
8 x + 3 y – 1
A
B
C
15 x – y
18
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