Question

Karen was trying to factor 6x^2+106x

2

+106, x, squared, plus, 10. She found that the greatest common factor of these terms was 222 and made an area model:



What is the width of Karen's area model?

Answer 1

Explanation:

Here we know that Karen was trying to factor the following expression:

$6x^2+106x$

And we want to find the width of Karen's area model, so we can say that that expression represents the area of a rectangle, so if we name (A) as this area, then:

$A=6x^2+106x \\ \\ \\ \text{Taking 2x as common factor}: \\ \\ A=2x(3x+53)$

Recall that the area of a rectangle is defined as:

$A=L\times W \\ \\ \\ Where: \\ \\ L:Length \\ \\ W:Width$

So we can say:

$W=2x \\ \\ L=3x+53$

Finally, the width is:

$\boxed{2x \ units}$

Answer 2

Answer:

3x^2+5

Step-by-step explanation:

I got it from khan academy