- Home
- Math 30-2 (Alberta)
- Polynomial Functions
Applications of polynomial functions
- Lesson: 116:54
- Lesson: 28:06
Applications of polynomial functions
Lessons
- 1.A piece of cardboard is 15 cm in length and 8 cm in width. To make a box without lid with this cardboard, 4 identical squares with a side length x are cut out from the corners, and then, the sides are folded up.
i) Express the volume, V, in relation to x in a polynomial function.
ii) Find the domain by graphing the function.
iii) In order to maximize the volume, what should the side length of each cut-out square be?
iv) Determine the maximum volume.
v) Find the dimensions of the box. Round your answer to 1 decimal place. - 2.Dave and 3 of his friends all have their birthdays on October 10. Dave is 4 years older than Emma. Yet, he is 2 years younger than Frank, and 10 years younger than Gary. Last year, on October 10, the product of their ages was 65 501 larger than the square sum of their ages. How old was Dave last year on his birthday?
Do better in math today
3.
Polynomial Functions
3.1
What is a polynomial function?
3.2
Polynomial long division
3.3
Polynomial synthetic division
3.4
Remainder theorem
3.5
Factor theorem
3.6
Rational zero theorem
3.7
Characteristics of polynomial graphs
3.8
Multiplicities of polynomials
3.9
Imaginary zeros of polynomials
3.10
Determining the equation of a polynomial function
3.11
Applications of polynomial functions
3.12
Solving polynomial inequalities
3.13
Fundamental theorem of algebra
3.14
Descartes' rule of signs