1.) Tom has started to collected game cards for 12 months. His monthly collection can be mapped by the function G = -t⁴ +13t³ -43t² +13t+48 where G is the number of game cards and t is the number of months since he started the collection. During which months did TOM collect 90 game cards?
a. 5 and 6 b. 7 and 8 c. 9 and 10 d. 6 and 7
2.) A demographer predicts that the population, P, of a town T years from now can be modelled by the function P(t)=6t⁴ -5t³ +200t+ 12 000. What will the population of the town be two(2) years from now?
a. 12 456 b. 124 560 c. 1 245 6000 d. 12 456 000
3.) A rectangle with a length of 3x + 2 cm has an area of 9x⁴ + 5x² -6x-8 sq cm. Write a polynomial that represents its width.
a. 3x³ - 2x² + 3x - 4B C. D. .
b. 3x³ + 2x² + 3x - 4
c. 27x^5 + 2x² + 3x - 4
d. 27x^5 - 2x² + 3x - 4
4.) Find the third degree polynomial functions with zeroes 3, -4, and 1/2.
a. P(x)= 2x³ + x² -25x + 12
b. P(x)= 2x³ + 2x² - 25x - 12
c. P(x)= x³ + 2x² - 25x + 12
d. P(x)= x³ + 3x² + 25x - 1
5.) The width of a rectangular container is 2 m less than the length amd the height is 1m less than the length. Write the polynomial function that represents the volume of the container.
