Question

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

Answer 1

ANSWER
The function is quadratic

Quadratic term:
$- 6 {x}^{2}$

Linear term:
$- 17x$
Constant term:
$- 12$

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

$- 12$

Answer 2

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)