Ineed answers to all 10 questions. will give 30 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:

||
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