How can I solve inequalities graphically? Consider the inequality?f(x) ≤?g(x), where?f(x) and?g(x) are functions of?x if we?move?g(x) to the LHS?we get f(x) –?g(x) ≤ 0 Solve?f(x) –?g(x) = 0 to?find...
How do I find the sum & product of roots of polynomials? an??is the coefficient of the?leading term an-1??is the coefficient of the?xn-1?term Be careful: this could be equal to zero a0?is the?c...
In exams you’ll commonly be asked to sketch the graphs of different polynomial functions with and without the use of your GDC. What’s the relationship between a polynomial’s degree and its zeros? I...
What is polynomial division? Polynomial division is the process of?dividing two polynomials This is usually only useful when the?degree of the denominator?is?less than or equal?to the?degree of the...
What is the factor theorem? The?factor theorem?is used to find the linear factors of?polynomial?equations This topic is closely tied to finding the?zeros?and?roots?of a?polynomial?function/equation...
What transformations do I need to know? How do horizontal and vertical transformations affect each other? Horizontal and vertical transformations?are?independent?of each other The horizontal transf...
What are stretches of graphs? When you alter a function in certain ways, the effects on the graph of the function can be described by?geometrical transformations For a?stretch: the graph is?stretch...
What are reflections of graphs? When you alter a function in certain ways, the effects on the graph of the function can be described by?geometrical transformations For a?reflection: the graph is?fl...
What are translations of graphs? When you alter a function in certain ways, the effects on the graph of the function can be described by?geometrical transformations For a?translation: the graph is?...
