Question

Classify the function as linear or quadratic and identify the quadratic, linear, and constant terms. y = (3x + 4)(−2x − 3) quadratic function; quadratic term: 12x2; linear term: 18x; constant term: −12 quadratic function; quadratic term: −6x2; linear term: −17x; constant term: −12 linear function; linear term: −6x2; constant term: −12 linear function; linear term: −17x; constant term: −12

Answer 1

quadratic function; quadratic term: −6x² ; linear term: −17x; constant term: −12

Explanation:

The given function is

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

We need to expand the RHS to get:

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

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

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

We can see that the degree of this polynomial function is 2 and hence it is a quadratic function.

The quadratic term is -6x²

The linear term is -17x

The constant term is -12