Compare the quantities in Column A and Column B. Column A the coefficient of x for Column B the coefficient of x for the product (x-2)(x' +3x+1) the product (x+2)(x'-3x-1) [A] The quantity in Column A is greater. [B] The quantity in Column B is greater. [C] The quantities are equal. [D] The relationship cannot be determined from the information given.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 7E
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Compare the quantities in Column A and Column B.
Column A
the coefficient of x for
Column B
the coefficient of x for
the product (x-2)(x+3x+1) the product (x+2)(x-3x-1)
[A] The quantity in Column A is greater.
[B] The quantity in Column B is greater.
[C] The quantities are equal.
[D] The relationship cannot be determined from the information given.
Option 1
Option 2
Option 3
Option 4
10 ooints
Transcribed Image Text:Compare the quantities in Column A and Column B. Column A the coefficient of x for Column B the coefficient of x for the product (x-2)(x+3x+1) the product (x+2)(x-3x-1) [A] The quantity in Column A is greater. [B] The quantity in Column B is greater. [C] The quantities are equal. [D] The relationship cannot be determined from the information given. Option 1 Option 2 Option 3 Option 4 10 ooints
Expert Solution
Step 1

Given data:

The first expression given is (x-2)(x2+3x+1).

The second expression given is (x+2)(x2-3x-1).

The first expression can be written as,

x-2x2+3x+1=xx2+3x+1-2x2+3x+1=x3+3x2+x-2x2-6x-2=x3+x2-5x-2

The coefficient of x in the above expression is -5.

 

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