Ineed answers to all 10 questions. will give 10 points.

1. find the product of 2x^4(2x^2 + 3x + 4).

a. 2x^8 + 3x^4 + 4x^4

b. 4x^6 + 6x^5 + 8x^4

c. 4x^4 + 3x^5 + 2x^6

d. 3x^6 + 4x^5 + 5x^4

2. find the product of (x + 7)(x − 7).

a. x^2 − 14x + 49

b. x^2 − 49

c. x^2 + 14x + 49

d. x^2 + 49

3. write a simplified polynomial expression in standard form to represent the area of the rectangle below:

| l*w? ? | x+5

||

2x-4

a. 2x^2 + 6x − 20

b. 2x^2 − 4x − 20

c. 2x^2 + 6x + 20

d. 2x^2 + 10x + 20

4. the function f(x) = 2x2 + 1 represents the rate of a bicycle traveling in miles per hour. the function g(x) = x + 1 represents the time the bicyclist traveled in hours. solve (f • g)(2), and interpret the answer.

a. (f • g)(2) = 12, the number of bicycles

b. (f • g)(2) = 12, the distance in miles the bicycle traveled

c. (f • g)(2) = 27, the number of bicycles

d. (f • g)(2) = 27, the distance in miles the bicycle traveled

5. find the product of (4x − 3)(2x2 − 7x + 1).

a. 8x^3 − 22x^2 + 17x− 3

b. 8x^3 + 8x^2 + 4x − 3

c. 8x^3 − 34x^2 + 25x − 3

d. 8x^3 − 42x^2 + 25x − 3

6. which statement shows how two polynomials 5x − 6 and 6x + 2 demonstrate the closure property when multiplied?

a. 30x^2 − 26x − 12 may or may not be a polynomial

b. 30x^2 − 11x − 12 may or may not be a polynomial

c. 30x^2 − 26x − 12 is a polynomial

d. 30x^2 − 11x − 12 is a polynomial

7.

the function f(x) = 6x + 8 represents the distance run by a cheetah in miles. the function g(x) = x − 2 represents the time the cheetah ran in hours.

solve (f/g)(3), and interpret the answer.

a. 26; the cheetah's rate in miles per hour

b. 26; the number of cheetahs

c. 1/26 ; the cheetah's rate in miles per hour

d. 1/26 ; the number of cheetahs

8.

which statement shows how the product of (x + 7)^2 demonstrates the closure property of multiplication?

a. x^2 + 14x + 49 is a polynomial

b. x^2+ 14x + 49 may or may not be a polynomial

c. x^2 + 49 is a polynomial

d. x^2 + 49 may or may not be a polynomial

9. find the product of x^2(4x − 3).

a. 5x^3

b. 5^x3 − 3x^2

c. 4x^3 − 3x^2

d. x^2 + 4x − 3

10. find the product of (x − 7)^2.

a. x^2 − 14x + 49

b. x^2 + 14x + 49

c. x^2 − 49

d. x^2 + 49