Question

Bill was asked to factor the expression below on a chapter test. His work is shown below. The last line is his answer. Which of the following statements about the answer Bill is providing is true?

6x^2+10x-4
6x^2+12x-2x-4
6x(x+2)-2(x+2)
(6x-2)(x+2)

A. The answer Bill has provided is correct
B. The binomials in Bill's answer are in the wrong order
C. The answer bill has provided is not completely factored
D. The binomials in Bill's answer do not multiply to the original trinomial
Please help

Answer 1

A. The answer Bill has provided is correct

Answer 2

A. The answer Bill has provided is correct.

Explanation:

Given expression,

`6x^2+10x-4`

The steps involved in factoring this expression are as follow,

Step 1 : By middle term splitting,

`6x^2+(12-2)x-4`

Step 2 : By distributive property,

`6x^2+12x-2x-4`

Step 3 : By converse of distributive property,

`6x(x+2)-2(x+2)`

Step 4 : Again by distributive property,

`(6x-2)(x+2)`

Thus, by the above explanation it is clear that there is no error in Bill's solution,

And, the answer provided by him is correct.

Option A is correct.