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: image of area model with height 5 and three rectangles labeled $10x^2$, $-5x$, 15 what is the width of todor’s area model? width =

Explanation:

Step1: Recall factoring by GCF

To find the width, we divide each term by the GCF (5) and sum them.
First term: $\frac{10x^2}{5} = 2x^2$
Second term: $\frac{-5x}{5} = -x$
Third term: $\frac{15}{5} = 3$

Step2: Combine the results

The width is the sum of these quotients: $2x^2 - x + 3$

Answer:

$2x^2 - x + 3$