Explanation Procedure used: “Factoring a x 2 + b x + c , a ≠ 1 using trial and error: Step 1: If there are common factors, then factor out the GCF and obtain the trinomial. Step 2: List the possibilities for the first terms of each binomial whose product is a x 2 . Step 2: List the possibilities for the last terms of each binomial. Step 3: Write all the combinations of factors found in step 1 and step 2. Multiply the binomials until a product that equals the trinomial is found.” Step 4: Check whether the factors satisfies the given polynomial or not.” Calculation: Obtain the factor of the expression 2 z 2 + 13 z − 5 as follows. It is observed that there are no common factors in the polynomial, 2 z 2 + 13 z − 5 . List the possible ways for the first terms of each binomial whose product is 2 z 2 . Here, there are two possibilities to represent the first term 2 z 2 . That is, the binomial terms are ( 2 z + _ _ ) ( z + _ _ ) and ( − 2 z + _ _ ) ( − z + _ _ )

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ISBN: 9780134437705

Author: Washington

Publisher: PEARSON

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Chapter 6.2, Problem 32E

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To factor: The expression $2z2+13z−5$ completely.

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Chapter 6.2, Problem 31E

Chapter 6.2, Problem 33E

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u, v and w are three coplanar vectors: ⚫ w has a magnitude of 10 and points along the positive x-axis ⚫ v has a magnitude of 3 and makes an angle of 58 degrees to the positive x- axis ⚫ u has a magnitude of 5 and makes an angle of 119 degrees to the positive x- axis ⚫ vector v is located in between u and w a) Draw a diagram of the three vectors placed tail-to-tail at the origin of an x-y plane. b) If possible, find w × (ū+v) Support your answer mathematically or a with a written explanation. c) If possible, find v. (ū⋅w) Support your answer mathematically or a with a written explanation. d) If possible, find u. (vxw) Support your answer mathematically or a with a written explanation. Note: in this question you can work with the vectors in geometric form or convert them to algebraic vectors.

Question 3 (6 points) u, v and w are three coplanar vectors: ⚫ w has a magnitude of 10 and points along the positive x-axis ⚫ v has a magnitude of 3 and makes an angle of 58 degrees to the positive x- axis ⚫ u has a magnitude of 5 and makes an angle of 119 degrees to the positive x- axis ⚫ vector v is located in between u and w a) Draw a diagram of the three vectors placed tail-to-tail at the origin of an x-y plane. b) If possible, find w × (u + v) Support your answer mathematically or a with a written explanation. c) If possible, find v. (ū⋅ w) Support your answer mathematically or a with a written explanation. d) If possible, find u (v × w) Support your answer mathematically or a with a written explanation. Note: in this question you can work with the vectors in geometric form or convert them to algebraic vectors.

Chapter 6 Solutions

Basic Technical Mathematics

Ch. 6.1 - Prob. 1PE Ch. 6.1 - Prob. 2PE Ch. 6.1 - Prob. 3PE Ch. 6.1 - Prob. 4PE Ch. 6.1 - Prob. 1E Ch. 6.1 - Prob. 2E Ch. 6.1 - Prob. 3E Ch. 6.1 - Prob. 4E Ch. 6.1 - Prob. 5E Ch. 6.1 - Prob. 6E

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To factor: The expression 2 z 2 + 13 z − 5 completely.

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To factor: The expression 2z2+13z−5<m:math><m:mrow><m:mn>2</m:mn><m:msup><m:mi>z</m:mi><m:mn>2</m:mn></m:msup><m:mo>+</m:mo><m:mn>13</m:mn><m:mi>z</m:mi><m:mo>−</m:mo><m:mn>5</m:mn></m:mrow></m:math> completely.

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Chapter 6 Solutions

To factor: The expression $2z2+13z−5$ completely.