Question

Use the next three slides to factor 3x²+11x+10

Start by labeling the area model for rectangles I and IV. Next, multiply the main diagonal and enter the product into the table.

Answer 1

Rectangle II should be 5x.

Rectangle III should be 6x.

Rectangle IV should be 10.

Explanation:

`3 {x}^(2) + 11x + 10`

`3{x}^(2) + 6x + 5x + 10`

`3x(x + 2) + 5(x + 2)`

`(3x + 5)(x + 2)`