Answer:
10
Step-by-step explanation:
Answer:
The correct option is C) 5, 5/2
The sequence given is:
80, 40, 20, 10, _____, ______
If we look at the given numbers, it appears that every next number is obtained by dividing the previous number of 2.
Like 40 is obtained by dividing 80 by 2
Similarly:
Therefore, the complete sequence is:
80, 40, 20, 10, 5, 5/2
Hence the correct option is C) 5, 5/2
1a) Possible rational roots will be of the form
±{divisor of 10}/{divisor of 4}
Divisors of 10 are {1, 2, 5, 10}
Divisors of 4 are {1, 2, 4}
Then possible rational roots are
{±1/4, ±1/2, ±1, ±5/4, ±2, ±5/2, ±5, ±10}
1b) Your answer is correct.
2) One additional root will be the conjuate of the given complex root.
5 -3i
3) If one root is 5 -√7, another will be 5 +√7. Then your polynomial is
P(x) = (x -(5 -√7))*(x -(5 +√7)) = (x -5)^2 -(√7)^2
P(x) = x^2 -10x +18
X = 36
because angle 108 = 3x
3 x 36 = 108
hope it makes sense, if you have any questions let me know
