needsHelp09
needsHelp09 needsHelp09
  • 07-02-2019
  • Mathematics
contestada

A cubic equation has factors of (x + 2)(x^2 + 7x + 10). Determine ALL of the real roots. Which one is a double root?

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MrsStrong
MrsStrong MrsStrong
  • 12-02-2019

Answer:

x = -2, -5 where -2 is a double root

Step-by-step explanation:

The real roots are the solutions to the cubic equation. You find them by setting each factor equal to 0 and solving for x.

[tex]x+2 = 0 \\x= -2[/tex]

[tex]x^2 + 7x +10 = 0\\(x+2)(x+5) = 0\\x=-2, -5[/tex]

Since -2 appears twice, it is a double root.

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