by grouping. He performed the first three steps as shown below. However, he struggles to complete Step 4 because he could not come up with a shared binomial in Step 3. What change should Kevin make to arrive at a shared binomial in Step 3?
Step 1: 6x2+(−3x)+(−4x)+2=0
Step 2: (6x2+(−3x))+(−4x+2)=0
Step 3: 3x(2x−1)+2(−2x+1)=0
(1 point)
Responses
Use −3x
as the GCF of the first grouping in Step 3.
Use negative 3 x as the GCF of the first grouping in Step 3.
Change the grouping of pairs in Step 2.
Change the grouping of pairs in Step 2.
Use −2
as the GCF of the second grouping in Step 3.
Use negative 2 as the GCF of the second grouping in Step 3.
Use different factors for −7x
in Step 1.
Use different factors for negative 7 x in Step 1.
Remaining Attempts : 3
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1 answer
To help Kevin arrive at a shared binomial in Step 3, he should change the grouping of pairs in Step 2.
In his current steps, he grouped the terms as (6x^2 + (−3x)) and (−4x + 2). Instead, he should group them differently to facilitate a common factor. A more effective grouping would be (6x^2 + 2) and (−3x − 4x), or (6x^2 − 4x) and (−3x + 2).
Thus, the correct response is:
Change the grouping of pairs in Step 2.
