Lesson Notes By Weeks and Term v4 - SHS 1
APPLICATIONS OF ALGEBRA
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APPLICATIONS OF ALGEBRA
Download the Lessonotes Mobile Ghana app for faster lesson access on Android and iPhone.
Subject: Additional Mathematics
Class: SHS 1
Term: 1st Term
Week: 14
Grade code: 1.1.2.LI.1
Strand code: 1
Sub-strand code: 2
Content standard code: 1.1.2.CS.1
Indicator code: 1.1.2.LI.1
Theme: MODELLING WITH ALGEBRA
Subtheme: APPLICATIONS OF ALGEBRA
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In our daily lives, we often deal with situations where quantities are related in complex ways. For example, how does the profit of a koko seller change as she sells more cups? How does a farmer determine the right amount of fertilizer to maximize crop yield? How do engineers design the curve of a road for safety and efficiency? Algebra, specifically the study of polynomial functions, gives us a powerful tool to model, understand, and predict outcomes in these real-world scenarios. This lesson introduces you to polynomial functions, the building blocks for solving many practical problems in science, business, and engineering right here in Ghana.
Part 1: What is a Polynomial Function?
A polynomial function is an expression consisting of variables, coefficients, and non-negative integer exponents. They are combined using only addition, subtraction, and multiplication.
The general form of a polynomial function is: P(x) = aₙxⁿ + aₙ₋₁xⁿ⁻¹ + ... + a₂x² + a₁x + a₀
This looks complicated, so let's break it down with an example. Consider the function: f(x) = 4x³ - 2x² + 5x - 7