Question

The diagram represents 6x2 – 7x + 2 with a factor of 2x – 1. A 2-column table with 2 rows. First column is labeled 2 x with entries 6 x squared, negative 4 x. Second column is labeled negative 1 with entries negative 3 x, 2. Both rows are labeled with a question mark. What is the other factor of 6x2 – 7x + 2? 3x – 2 3x – 1 3x + 1 3x + 2

Answer 1

3x-2

Explanation:

• 6x² – 7x + 2= 6x² -3x- 4x + 2= 3x(2x-1)- 2(2x-1)= (2x-1)(3x-2)

Factors are:

• 2x-1 and 3x-2

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• 3x – 2 correct
• 3x – 1 incorrect
• 3x + 1 incorrect
• 3x + 2 incorrect

Answer 2

( 3x -2)

Explanation:

6x^2 – 7x + 2

We know that the constant only has factors of 1 and 2

Since the middle term is negative we know that that we are subtracting

A negative times a negative is positive for the final term

A negative plus a negative is negative for the middle term

( -1 ) ( -2)

We have to determine how to break up 6x^2

1x * 6x

2x*3x

3x*2x

6x*1x

We are given that one factor is 2x-1

( 2x -1 ) ( -2)

That means the other factor of 6x^2 is 3x ( 2x*3x)

( 2x -1 ) ( 3x -2)