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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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. ...
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