State the possible number of positive and negative zeros for each function.
Problem 1 :
f(x) = 3x4 + 20x2 - 32
Problem 2 :
f(x) = 5x4 - 42x2 + 49
Problem 3 :
f(x) = 4x3 - 12x2 - 5x + 1
Problem 4 :
f(x) = 2x4 - 3x3 + x
Problem 5 :
f(x) = 2x4 + 3x2 - 54
Problem 6 :
f(x) = x6 - 64
Problem 7 :
f(x) = 9x6 - 3x5 + 33x4 - 11x3 + 18x2 - 6x
Problem 8 :
f(x) = 64x6 - 1
Problem 9 :
f(x) = 2x5 + 4x4 + 9x3 + 18x2 - 35x - 70
Problem 10 :
f(x) = 6x5 - 4x4 - 63x3 + 42x2 + 147x - 98
Problem 11 :
f(x) = 16x6 - 32x4 - 25x2 + 50
Problem 12 :
f(x) = x7 - 64x
1) Number of positive roots = 1, negative rots = 1 and imaginary roots = 2
2)
3)
4)
5) number of positive roots = 1, number of negative roots = 1, number of imaginary roots = 2.
6) number of positive roots = 1, number of negative roots = 1, number of imaginary roots = 4.
7)
8) number of positive roots = 1, number of negative roots = 1, number of imaginary roots = 4.
9)
10)
11)
12) Number of positive roots = 1, negative roots = 1 and imaginary roots = 5.
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM