Question

Classify the function as linear or quadratic and identify the quadratic, linear, and constant terms. y=(3x+4)(-2x-3)

Answer 1

y=(3x+4)(-2x-3)=-6x^2-4x-9x-12=-6x^2-13x-12.
It is a quadratic function because it has x in power 2 (x^2)

Answer 2

ANSWER
The function is quadratic

Quadratic term:

`- 6 {x}^(2)`

Linear term:

`- 17x`
Constant term:

`- 12`

Step-by-step explanation

The given function is


`y = (3x + 4)( - 2x - 3)`

Let us expand to obtain,


`y = - 6 {x}^(2) - 9x- 8x - 12`

We simplify to get,

The highest degree of the function is 2.


`y = - 6 {x}^(2) - 17x - 12`

Therefore the function is quadratic and the quadratic term is

`- 6{x}^(2)`
The linear term is,


`- 17x`

and the constant term is


`- 12`