Question

Use the chart to multiply the binomial by the trinomial. Which polynomial is the correct product?

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

Answer 1

The awnser is :
6y^3 + 17y^2 + 22y + 15
Hope it helps

Answer 2

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

Explanation:

Here, the given expression,
`(2y+3). (3y^2+4y+5)`

By applying distribution property in second bracket,

=
`3y^2(2y+3)+4y(2y+3)+5(2y+3)`

=
`6y^3+9y^2+8y^2 +12y+10y+15` ( again by applying distributive property)

=
`6y^3+17y^2 +22y+15` ( by adding like terms)

Thus,
`(2y+3). (3y^2+4y+5)`=
`6y^3+17y^2 +22y+15`