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Long Division revision through a cubic

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Factoring a Cubic Polynomial (Long Division)

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Worksheet Attached

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What type of functions are
H(x)=
P(x)=
Q(x)=
R(x)=
What can we say about the composition of a cubic function?
Are there any other functions missing from this list and if yes find at least one function?

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Active Maths 4 HL
Page 45 Questions 1-10 in class and finish for homework.

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We have now found the roots of the function and seen its corresponding graph.
For homework:

1. Finish all questions from class

2. I want you make a list of points or features we know already which aid in graphing a cubic.

3. Then assess the function and write down other distinct points or features that we would need to know to graph this function accurately.

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Before playing the GeoGebra file. Discuss and list in pairs the types of functions that were created when you decomposed the cubic?

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Solve the Equation:
G(x)= 2x³-3x²-17x+30