Question

PLEASE HELP ASAP 25 PTS + BRAINLIEST TO RIGHT/BEST ANSWER

Answer 1

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.

Answer 2

Answer:

This is a quadratic function (because of the x^2 term)

quadratic 15x^2

linear 9x

constant-6

Step-by-step explanation:

f(x) = (3x+3) (5x-2)

FOIL

first 3x*5x = 15x^2

outer = 3x(-2) = -6x

inner = 3*5x = 15x

last = -2*3 = -6

Add them together

15x^2 -6x+15x -6

15x^2 +9x -6

This is a quadratic function (because of the x^2 term)

quadratic 15x^2

linear 9x

constant-6