contestada

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

Respuesta :

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)
kudzordzifrancis
ANSWER
The function is quadratic

Quadratic term:
[tex] - 6 {x}^{2} [/tex]

Linear term:
[tex] - 17x[/tex]
Constant term:
[tex] - 12[/tex]

EXPLANATION

The given function is

[tex]y = (3x + 4)( - 2x - 3)[/tex]

Let us expand to obtain,

[tex]y = - 6 {x}^{2} - 9x- 8x - 12[/tex]

We simplify to get,

The highest degree of the function is 2.

[tex]y = - 6 {x}^{2} - 17x - 12[/tex]

Therefore the function is quadratic and the quadratic term is
[tex] - 6{x}^{2} [/tex]
The linear term is,

[tex] - 17x[/tex]

and the constant term is

[tex] - 12[/tex]

Otras preguntas