- Home
- Grade 12 Math
- Polynomial Functions
Solving polynomial inequalities
- Intro Lesson1:01
- Lesson: 1a1:28
- Lesson: 1b1:40
- Lesson: 2a7:37
- Lesson: 2b6:58
- Lesson: 3a7:40
- Lesson: 3b2:29
- Lesson: 420:31
Solving polynomial inequalities
Basic Concepts: Solving quadratic inequalities
Lessons
- IntroductionWhat is an Inequality?
- 1.Solving Linear Inequalities
Solve:a)3x−10 > 11b)5−2x≤13 - 2.Solving Quadratic Inequalities
Solve each inequality
i) graphically
ii) algebraically using test intervals.a)2x2−x−15≥0b)−5x2−10x+40 > 0 - 3.Solving Higher Degree Polynomial Inequalities:
Solve:a)23(x+5)(x−4)3(x−3)8(x+2)11≥0b)23(x+5)(x−4)3(x−3)8(x+2)11 < 0 - 4.Factor First, then Solve Inequalities
Solve: −2x4+3x3+18x2−17x−30≤0
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