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Find the sum.

Practice B

1. (ów² - Sn + 2) + (lOn - 9)

2. (-Sm² + m - 14) + (-3m² - 2m)

/

3.

4.

(5c³ + 2c² - 4) + (3c³ + 15c² -

Find the difference.

6.

5. [q² + 8q - 9) - (-5# + 12)

(3/² + 10/ - 4) - (-7/² - 14/ +

7.

(■

2

3

4

5

-h² + 2H--    -h² - 6h - -

5

3

8.

(9y³ - I3y) - (6/ + 5y-8)

9. The weight of x bags of pinecones is representcd by 8x + 2. The weight of x bags of lcaves is represented by 5* + 3. Write a polynomial that reprcscnts how much morę x bags of pinecones wcigh than x bags of leaves.

Find the sum or difference.

10. (3j>² - 5yz + l lz²) + (2y² - 8yz - 9z²)

11. (a² + 9ab - 2b²) - (9a² - 4ab + 3Zr)

12. (2r² - 3rs - 45²) - (-3r² - 8rs - 55²)

13. (-8p² - l \pq + 5^²) + (-4p² + \3pq - 10^²)

14.    The polynomial that represcnts the area of a rectangle is 2at² - 3x + 6.

a.    Use a graphing calculator to determine the value of* in which the area of the rectangle is the same as the area of the trianglc.

b.    For what valucs of x (x > 0) is the area of the trianglc greater than the area of the rectangle?

c.    Write a polynomial that reprcscnts how much larger the area of the trianglc is than the area of the rectangle. For what values of a: is this exprcssion ncgative?