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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

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Answer:

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

Step-by-step explanation:

The given function is

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

We need to expand the RHS to get:

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

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

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

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

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