Asked by Bradley
The equation f(x) = 3x^3 + 10x^2 - 16x - 32 has a root at x = -4
a) Find the depressed equation using synthetic division and the root given. Factor out any constants that may appear.
b) Factor the depressed equation (which is now a quadratic) using any method EXCEPT synthetic division.
c) List all the roots for f(x)
a) Find the depressed equation using synthetic division and the root given. Factor out any constants that may appear.
b) Factor the depressed equation (which is now a quadratic) using any method EXCEPT synthetic division.
c) List all the roots for f(x)
Answers
Answered by
drwls
You get the "depressed equation" by dividing
3x^3 + 10x^2 - 16x - 32 by the factor already. This is a skil you need to learn.
x + 4. Read up on how to do synthetic division if you don't know already. Show your work if you need additional help.
The depressed quadratic equation (if f(x) - 0) is
3x^2 -2x -8 = 0
That does not factor easily
3x^3 + 10x^2 - 16x - 32 by the factor already. This is a skil you need to learn.
x + 4. Read up on how to do synthetic division if you don't know already. Show your work if you need additional help.
The depressed quadratic equation (if f(x) - 0) is
3x^2 -2x -8 = 0
That does not factor easily
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