Concept explainers
In Exercises 9-46, factor the trinomial completely by using any method Remember to look for common factor first. (See Example 1-7)
9. b2 -12b + 32
Example 1
Factoring a trinomial by the AC-Method
Factor by using the ac-method. 12x2 -5x - 2
Example 2
Factoring a Trinomial by the Ac-Method
Factor by the trial-and-error method. -20c3 + 34c2d -6cd2
Example 3
Factoring a Trinomial by the Trial- and- Error Method
Factor by the trial-and-error method. 2x2 + 7x + 6
Example 4
Factoring a Trinomial by the Trial- and- Error Method
Factor by the trial-and-error method. 13y - 6 + 8y2
Example 5
Factoring a Trinomial by the Trial- and- Error Method
Factor by the trial-and-error method.
180x3y + 208x2y2 − 20xy3
Example 6
Factoring a Trinomial by the Trial- and- Error Method
Factor completely. 2x2 + 9x + 14
Example 7
Factoring a Trinomial with a Leading Coefficient of 1
Factor completely. x2 − 10x + 16

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