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:

Model area of dimensions

Step-by-step explanation:

Model for the Area

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

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

This polynomial can be factored as

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

Or viceversa

answer: standard form is ax^2 + bx + c = 0

step-by-step explanation:

standard form is ax^2 + bx + c = 0

(2x + 1)(x - 2) = 0

distribute to get into standard form

2x^2 - 4x + x - 2 = 0

2x^2 - 3x - 2 = 0

a = 2, b= -3, c = -2

a is your answer