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MM Unit 1: TOPIC 2: Cubic and Quartic Polynomials

MM Unit 1: TOPIC 2: Cubic and Quartic Polynomials Learning Goals Students should be able to do and know: By hand: (these will be tested mainly in the non-calculator section of assessments) Determine the remainder when a polynomial is divided by a linear binomial Express a polynomial with integer co-efficients in the form = + Determine *(,),./ Solve Cubic and Quartic equations using appropriate techniques, including the null factor theorem draw graphs of Polynomials to degree 3 and degree 4 (when in factored form).. (not location of TPs for degree 3 and 4), showing intercepts Determine the rule for a Cubic or Quartic graph given key features Determine the domain and range of a relation using set and interval notation sketch the power functions y = xn ,n 3, 4 and simple transformations of these, showing key features How to identify a polynomial and the meaning of coefficient, degree that Cubic refers to a polynomial of degree 3 and Quartic to degree 4 How to use Pascal s Triangle to expand binomials to the power of n (where n is a natural number) that there are various forms of equations for Cubic and Quartic Polynomials (expanded form, factor form, power function form) that there are two graphical forms for Polynomials with degree 3: the one when the equation can be written in power function form (ie y = a (x b)n + c ) and the one when it cannot Expand a product o

• that cubic refers to a polynomial of degree 3 and quartic to degree 4 • How to use Pascal’s Triangle to expand binomials to the power of n (where n is a natural number) • that there are various forms of equations for cubic and quartic polynomials (expanded form, factor form, power function form)

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