Question

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

Answer 1

`y = -6x^2 -17 x -12`

And since the higher exponent for the x term is 2 we can classify the equation as quadratic

Quadratic term: -6

Linear term: -17

Constant term: -12

Explanation:

For this problem we have the following equation:

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

And we can distribute the terms and we got:

`y = -6x^2 -9x -8x -12`

And solving we got:

`y = -6x^2 -17 x -12`

And since the higher exponent for the x term is 2 we can classify the equation as quadratic

Quadratic term: -6

Linear term: -17

Constant term: -12