Question

Todor was trying to factor 10x^2-5x+15 He found that the greatest common factor of these terms was 5 and made an area model:

Answer 1

Answer:

Model area of dimensions

$p=5$

$q=2x^2-x+3$

Step-by-step explanation:

Model for the Area

Suposse we have a rectangle of measures p and q, its area is computed by

$A=p.q$

Note the expression is a product which means if an equation is found for the area, we can guess the dimensions of the supossed rectangle.

The expression for the area is

$A=10x^2-5x+15$

This polynomial can be factored as

$A=5(2x^2-x+3)$

We have found an explicit product, now we can guess the dimensions of the rectangle are

$p=5$

$q=2x^2-x+3$

Or viceversa