Question

Todor was trying to factor 10x^2-5x+15 he found the greatest common factor of these terms was 5 what is the width

Answer 1

Width =
`2x^2-x+3`

Explanation:

The rectangle basically has an area of
`10x^2-5x+15`

One of the sides is "5", we want to know the other side.

Rectangle has an area of:

A = Length * Width

Suppose length is given as "5" and we want to know the width. First lets factor this expression for area:

`10x^2-5x+15=5(2x^2-x+3)`

Now, we can write:

`Area=Length*Width\\10x^2-5x+15=5(2x^2-x+3)`

So, we can see the length is "5" and width is the expression shown above:

Width =
`2x^2-x+3`