SOLUTION: For each polynomial function, describe or determine the following, then sketch the graph. A. Leading term B. X-intercept C. Y-intercept D. Multiplicity of roots E. Number of

Question 1176413: For each polynomial function, describe or determine the following, then sketch the graph.
A. Leading term
B. X-intercept
C. Y-intercept
D. Multiplicity of roots
E. Number of turning points
F. Sketch
1.y=(x^2-5) (x-1)^2 (x-2)^2
2.y=2x^4-3x^3-18x^2+6x+28
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
1.
....multiply and you will get

A. Leading term is
B. X-intercept are at x=sqrt(5), x=-sqrt(5),x=1,x=2
C. Y-intercept is (,)
D. Multiplicity of roots:
Multiplicity 1
Multiplicity 1
Multiplicity 2
Multiplicity 2
E. Number of turning points is
note:
A polynomial of degree , will have a maximum of turning points.
The total number of turning points for a polynomial with an even degree is an odd number.
example: A polynomial with degree of can have , , , or turning points
The total number of points for a polynomial with an odd degree is an even number.
example: A polynomial of degree can have ,, turning points (zero is an even number).

F. Sketch

zeros:
A. Leading term is
B. X-intercept are:
()
()
()
()
C. Y-intercept is (,)
D. Multiplicity of roots
Multiplicity of 1
, Multiplicity of 1
,Multiplicity of 1
,Multiplicity of 1
E. Number of turning points
F. Sketch

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