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Simplifying Polynomials and Collecting Like Terms

Section 4.3

Collect like terms.

4 4
52. 3a - 2a + 2a + a

Collect like terms and then arrange in descending order.

3 3 4
66. -1 + 5x - 3 - 7x + x + 5

Classify the polynomial as a monomial, binomial, trinomial, or none of these.
4
96. -6x

5 3 3 2 3 2
(4x - 6x - 9x + 1) + (6x + 9x + 9x) + (-4x + 8x + 3x - 2)
Section 4.4 18.

4 2 4
42. (0.5x - 0.6x + 0.7) - (2.3x + 1.8x - 3.9)

Section 4.5

Multiply.
4 6
8. (0.3x ) (-0.8x )

3 2
22. -4x(2x - 6x - 5x + 1)

38. (3x -4) (3x -4)

2
56. (3x -1) (4x - 2x - 1)

2 2
64. (1 - x + x ) (1 - x + x )

Section 4.6

16. (q + ) (q + )

22. (3x + 4) (2x - 4)

4 4
48. (3x + 2) (3x - 2)

3 2
74. (6x - 2)

Section 4.7

Subtract

4 2 3 4 2 3
38.(3y x + 2y x - 3y - 7) - (2y x + 2y x - 4y - 2x + 5)

Multiply
2 2
48. (a-b) (a + ab + b )

2
58. (3a + 2b)

Divide and check.

Section 4.8

4 3 2
2x - 3x + 5x
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2
x

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