- Home
- Precalculus
- Polynomials
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
2.
Polynomials
2.1
Polynomial long division
2.2
Polynomial synthetic division
2.3
Determining the equation of a polynomial function
2.4
Factor theorem
2.5
Rational zero theorem
2.6
Characteristics of polynomial graphs
2.7
Multiplicities of polynomials
2.8
Imaginary zeros of polynomials
2.9
Pascal's triangle
2.10
Binomial theorem
2.11
What is a polynomial function?
2.12
Applications of polynomial functions
2.13
Solving polynomial inequalities
2.14
Descartes' rule of signs