Algebra 3/4

Algebra 3/4 delves into advanced algebraic concepts, including polynomial functions, rational expressions, and complex numbers.

Practical Applications

Modeling Real-Life Situations with Polynomials

Polynomials in Action

Polynomials can model many real-world situations, from predicting profits in business to modeling the path of a rocket.

Common Uses

  • Business: Estimate profits or losses over time.
  • Physics: Describe movement, like the height of a ball after it's thrown.

How to Model

  1. Identify variables and constants.
  2. Build a polynomial equation based on the scenario.
  3. Use the model to answer questions and make predictions.

Why Is This Useful?

Modeling helps us make better decisions, from planning a budget to designing sports equipment.

Examples

  • A toy company uses \( P(x) = -2x^2 + 40x - 100 \) to predict profit based on units sold.

  • A ball's height over time is modeled by \( h(t) = -16t^2 + 32t + 5 \).