Select the pair of consecutive integers between which a real zero of f(x) = x3 + 5x2 –x – 6 exists.
A)-6, -5
B)-2, -1
C)2, 3
D)-4, -3
Write the polar form of the complex number 3-2i, using θ such that 0 ≤ θ ≤ 360º. Round numerical values to the nearest hundredth.
A)3.61(cos 326.31º - i sin 326.31º)
B)326.31(cos 0.61º + i sin 3.61º)
C) 326.31(cos 326.31º - i sin 326.31º)
D) 3.61(cos 326.31º + i sin 326.31º)
The function f(x) = 8x4 – 72x3 +144x2 has ____ possible zeros.
A) none
B) four
C) one
D) three
+33616 First question. These graphs might help:
In general, insert the two values into the function. If the results are of opposite sign there is a zero between them.
Second question
See Chris's answer here: http://i61.tinypic.com/17coq9.png
Third question.
Because this is a 4th order polynomial there are 4 roots. However, in this case two of them are the same (there are two roots with x = 0). The other roots are at x = 3 and x = 6.
.
+33616 First question. These graphs might help:
In general, insert the two values into the function. If the results are of opposite sign there is a zero between them.
Second question
See Chris's answer here: http://i61.tinypic.com/17coq9.png
Third question.
Because this is a 4th order polynomial there are 4 roots. However, in this case two of them are the same (there are two roots with x = 0). The other roots are at x = 3 and x = 6.
.
