Question

Use the chart to multiply the binomial by the trinomial.

The expression (2 y + 3)(3 y squared + 4 y + 5) is shown above a blank table with 3 columns and 2 rows.
Which polynomial is the correct product?

15y3 + 17y2 + 22y + 15
6y3 + 17y2 + 22y + 15
6y3 + 20y2 + 22y + 15
6y3 + 17y2 + 22y + 25

Answer 1

6y^3+17y^2+22y+15

Explanation:

Answer 2

`6y^3+17y^2+22y+15`

Explanation:

This is the product of a binomial (two terms) in the variable y with a trinomial (three terms) in the variable y as well. Arrange the terms of each expression as noted in the attached image, and complete the boxes with the products of each vertical header with each horizontal header in the appropriate cell of the table. Then combine all like terms (marked in orange and green) to get the final answer:

`6y^3+17y^2+22y+15`