Asked by help
use the methods of this section to sketch the curve. y=x^3-3a^2x+2a^3, where a is a positive constant. What do the members of this family of curves have in common? How do they differ from each other?
Answers
Answered by
MathMate
Factor
x^3-3*a^2*x+2*a^3
to get
(x-a)²(x+2a)
What does the factor (x-a)² indicate?
What abuot (x+2a)?
x^3-3*a^2*x+2*a^3
to get
(x-a)²(x+2a)
What does the factor (x-a)² indicate?
What abuot (x+2a)?
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