Explanation Given Information: The provided polynomial is 18 x 2 − 3 x − 10 . Proof: Consider the provided polynomial, 18 x 2 − 3 x − 10 Take the combination of two terms, whose product is 18 x 2 , Combination of terms Product 3 x and 6 x 18 x 2 9 x and 2 x 18 x 2 18 x and x 18 x 2 Write this combination in factor form, as, ( 3 x + ) ( 6 x + ) , ( 9 x + ) ( 2 x + ) and ( 18 x + ) ( x + ) Take the possible pairs of two terms, whose product is − 10 , Possible pairs Product of pairs 2 , − 5 − 10 − 2 , 5 − 10 5 , − 2 − 10 − 5 , 2 − 10 10 , − 1 − 10 − 10 , 1 − 10 Form the pair to get middle term − 3 by checking each possible pair via substituting the combination in the factor form, as, Trial Product Remark ( 3 x + 2 ) ( 6 x − 5 ) 18 x 2 − 15 x + 12 x − 10 = 18 x 2 − 3 x − 10 Middle term is − 3 , So, this pair is correct. ( 3 x − 2 ) ( 6 x + 5 ) 18 x 2 + 15 x − 12 x − 10 = 18 x 2 + 3 x − 10 Middle term is not − 3 , So, rejected. ( 3 x + 5 ) ( 6 x − 2 ) 18 x 2 − 6 x + 30 x − 10 = 18 x 2 + 24 x − 10 Middle term is not − 3 , So, rejected. ( 3 x − 5 ) ( 6 x + 2 ) 18 x 2 + 6 x − 30 x − 10 = 18 x 2 − 24 x − 10 Middle term is not − 3 , So, rejected

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ISBN: 9781323235911

Author: BITTINGER

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Chapter 11.3, Problem 90ES

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To prove: Whether the factor of the polynomial 18x2−3x−10 is correct or not using the table feature of graphing calculator.

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Chapter 11.3, Problem 89ES

Chapter 11.3, Problem 91ES

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To prove: Whether the factor of the polynomial 18 x 2 − 3 x − 10 is correct or not using the table feature of graphing calculator.

Solution Summary: The author proves that the factor of the polynomial 18x2-3x-10 is correct using the table feature of graphing calculator.

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To prove: Whether the factor of the polynomial 18x2−3x−10 is correct or not using the table feature of graphing calculator.

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Chapter 11 Solutions