Students' Learning Outcomes

Students' Learning Outcomes

After completing this unit, the students will be able to:

• Solve quadratic equations of the form $ax^2 + bx + c = 0, a \neq 0$, $b, c$ are real numbers by factorization, quadratic formula, completing square and graphs.
• Find the intersecting point graphically when intersection occurs between
  • a linear function and coordinate axes.
  • two linear functions.
  • a linear and a quadratic function.
• Sketch and interpret the graphs of the quadratic function $y = ax^2 + bx + c, a \neq 0$, $b$ and $c$ are real numbers.
• Establish relationship between roots and coefficients of quadratic equations.
• Form a quadratic equation when roots are given.
• Find discriminant of a given quadratic equation.
• Identify the nature of roots of a quadratic equation through discriminant.
• Solve quadratic inequalities in one unknown.
• Solve problems of "changing the subject of formula".
• Solve fractional equations that can be reduced to quadratic equations.
• Apply the concept of quadratic equations and quadratic inequalities, to real world problems (such as in physics, engineering and finance, i.e. calculating max and min heights in projectile motion, determining the maximum price on a company's budget, stability of population, growth of business, the relationship between hours worked and amount earned etc.).