Explanation Given information: The given expression is 3 x 2 − 21 x + 36 . Calculation: A polynomial is said to be factored completely if all possible factorizations have been completed. According to the guidelines for factoring completely, look first for the common monomial factors. To factor out a monomial factor, it must be a factor of each term of the polynomial. Note that 3 is common factor of each term of the polynomial 3 x 2 − 21 x + 36 . We can factor out 3 as follows: 3 x 2 − 21 x + 36 = 3 ⋅ x 2 + 3 ⋅ ( − 7 x ) + 3 ⋅ 12 = 3 ( x 2 − 7 x + 12 ) . The new polynomial x 2 − 7 x + 12 is not the trinomial squares

Mathematical Applications for the Management, Life, and Social Sciences

12th Edition

ISBN: 9781337625340

Author: Ronald J. Harshbarger, James J. Reynolds

Publisher: Cengage Learning

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Chapter 0.6, Problem 26E

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To find: The complete factors of 3x2−21x+36.

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Chapter 0.6, Problem 25E

Chapter 0.6, Problem 27E

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Chapter 0 Solutions

Mathematical Applications for the Management, Life, and Social Sciences

Ch. 0.1 - Prob. 1CP Ch. 0.1 - Prob. 2CP Ch. 0.1 - Prob. 3CP Ch. 0.1 - Prob. 4CP Ch. 0.1 - CHECK POINT Let A=={ 2,3,5,7,11 } ,B={ 2,4,6,8,10...Ch. 0.1 - Prob. 6CP Ch. 0.1 - Prob. 7CP Ch. 0.1 - Prob. 8CP Ch. 0.1 - In problems 1-4, use or to indicate whether the...Ch. 0.1 - In problems 1-4, use or to indicate whether the...

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The complete factors of 3 x 2 − 21 x + 36 .

Solution Summary: The author explains that a polynomial can be factored completely if all possible factorizations have been completed.

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