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Factoring and solving polynomials

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Please help me understand the following problems: See attached file

Section 5.5

Factor each polynomial completely. If a polynomial is prime, say so.
44. 3x3 - 12x

66. 8b2 +24b + 18

72. 3x2 - 18x - 48

Section 5.6
Solve by factoring.

54. x2 - 36 = 0

Solve each equation.

58. x3 = 4x

66. (x - 3)2 + (x + 2)2 = 17

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Solution Summary

This provides examples of factoring polynomials and solving by factoring.

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Section 5.5
Problem #44
3x^3 - 12x = 3x(x^2 - 4) = 3x(x + 2)(x - 2)

Problem #66
8b^2 + 24b + 18 = 2(4b^2 + 12b + 9) = 2(2b + 3)^2

Problem ...

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