Graph behavior at roots with multiplicities 1 through 5

Graph behavior at roots with multiplicities 1 through 5

Graph behavior at roots with multiplicities 1 through 5

4:20

About this lesson

Sketch the graph of the polynomial function.
i) \(\)
\(\)\(P\left( x \right) = x - 2\)
ii) \(\)
\(\)\(P\left( x \right) = {\left( {x - 2} \right)^2}\)
iii) \(\)
\(\)\(P\left( x \right) = {\left( {x - 2} \right)^3}\)
iv) \(\)
\(\)\(P\left( x \right) = {\left( {x - 2} \right)^4}\)
v) \(\)
\(\)\(P\left( x \right) = {\left( {x - 2} \right)^5}\)

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Video 1 of 3

Graph behavior at roots with multiplicities 1 through 5

4 min

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Finding unknown multiplicity using degree of a polynomial

5 min

Sketching a degree-15 polynomial using multiplicities and end behavior

8 min