Textbook Question
In Exercises 1–68, factor completely, or state that the polynomial is prime. x² − 12x + 36 − 49y²
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Factor out the greatest common factor from each polynomial. See Example 1. 5(a+3)3-2(a+3)+(a+3)2
In Exercises 17–38, factor each trinomial, or state that the trinomial is prime. 6x2−11x+4
Concept Check When directed to completely factor the polynomial ,a student wrote . When the teacher did not give him full credit, he complained because when his answer is multiplied out, the result is the original polynomial. Give the correct answer.
Concept Check Kurt factored 16a2-40a-6a+15 by grouping and obtained (8a-3)(2a-5). Callie factored the same polynomial and gave an answer of (3-8a)(5-2a). Which answer is correct?
Factor each polynomial by grouping. See Example 2. 10ab-6b+35a-21