Explanation Given Information: The polynomial, m 2 + 12 m + 32 . Formula used: Consider a trinomial, x 2 + b x + c . The conditions for factoring a trinomial with the coefficient of the second-degree term as 1 are, Two such integers are to be determined the product of which should be c while the sum of the integers should be equivalent to b . If c is negative, then one integer must be positive and other must be negative, while if c and b are both positive then both the integers must also be positive, and if c and b are both negative, then both the integers must also be negative. Calculation: For a polynomial, m 2 + 12 m + 32 , find two integers whose product equals 32 and sum is equivalent to 12. Since, both the values are positive, thus, both the integers must be positive

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Author: Lial

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Chapter 8, Problem 22CRE

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To calculate: The factors for the polynomial m2+12m+32.

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Chapter 8, Problem 21CRE

Chapter 8, Problem 23CRE

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The factors for the polynomial m 2 + 12 m + 32 .

Solution Summary: The author calculates the factors for the polynomial m2+12m+32.

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