Explanation Given Information: The provided polynomial is 18 t 2 − 24 t + 6 . Formula used: Follow the steps as mentioned below to compute the factorization of a polynomial a x 2 + b x + c when a ≠ 1 by foil method. Step 1: Take the largest common factor as common, if possible. Step 2: Find the two first terms in a combination whose product will give a x 2 which will represent “ F” in the FOIL. Step 3: Find the two last terms in a combination whose product will give c which will represent “ L” in the FOIL. Step 4: Take the outer product by multiplying first and the last term obtained from step 2 and 3 also take the inner product by multiplying reaming inner terms obtained from step 2 and 3 then take the sum of results to get the value of b x which will represent “OI” in the FOIL. Step 5: Check the result by multiplication. Calculation: Consider the polynomial, 18 t 2 − 24 t + 6 Take out the largest common factor 6 as common, 18 t 2 − 24 t + 6 = 6 ( 3 t 2 − 4 t + 1 ) Now first compute the factors of 3 t 2 − 4 t + 1 , as, Take the combination of two terms, whose product is 3 t 2 , Combination of terms Product 3 t and t 3 t 2 Write this combination in factor form, as, ( 3 t + ) ( t + ) Take the possible pairs of two terms, whose product is 1 , Possible pairs Product of pairs 1 , 1 1 − 1 , − 1 1 Here the sign of the middle term is negative and the sign of the last term is positive. So, select the negative pairs to keep the sign of the terms unchanged

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ISBN: 9781323235911

Author: BITTINGER

Publisher: Pearson Custom Publishing

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Chapter 11.3, Problem 34ES

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To calculate: The factor of the polynomial 18t2−24t+6.

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Chapter 11.3, Problem 33ES

Chapter 11.3, Problem 35ES

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Chapter 11 Solutions

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The factor of the polynomial 18 t 2 − 24 t + 6 .

Solution Summary: The author calculates the factorization of the polynomial 18t2-24t+6 by foil method.

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To calculate: The factor of the polynomial 18t2−24t+6.

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Chapter 11 Solutions