adamske0
30.09.2019 •
Mathematics
Factor f(x) = x^4 + x^3 - 8x^2 + 6x +36 completely. show your work. then describe what a graph of this function might look like. include where the graph would cross the x-axis and the y-axis. how many roots are real numbers and how many roots are imaginary numbers?
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Ответ:
+/- 1, 2, 3, 4, 9, 12, 18, 36
Test each zero using the rational root test. To do this, use synthetic division to test the roots. I won't show the work here, but the roots that work are -2 and -3. As factors, this is x+2 and x+3.
From the synthetic division, we have x^2-4x+6 left over, which is irreducible.
In factored form:
f(x) = (x+2)(x+3)(x^-4x+6)
You could also use a graphing calculator to find the roots and work backwards to get the factored form too. A TI-89 Titanium would factor the polynomial and give you the above answer.
Ответ:
STAY ALIVE!
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