Because the answers are defining a full, un-simplified polynomial, we need to expand it from it's current state.
(3x + 3)(5x - 2)
FOIL
First terms.
15x^2
Outer terms.
-6x
Inner terms.
15x
Last terms.
-6
Combine terms.
15x^2 - 6x + 15x - 6
Simplify.
15x^2 + 9x - 6
Now, let's take a look at our options, one at a time.
Option A states:
"quadratic function" meaning highest term is 2.
This is correct.
Quadratic term: 9x^2
This is incorrect
Linear term: - 1x
This is incorrect
Constant term: -6
This is correct
Because two of the four statements were incorrect, we know this is not the correct answer.
Now let's check option B.
"Linear function"
This is incorrect, because we have a degree of 2, which states that our function will have a curve.
Let's check option C.
"Quadratic function"
This is correct
Quadratic term: 15x^2
This is correct
Linear term: 9x
This is correct
Constant term: -6
This is correct.
The correct option is option C.
