Answer:
x³ - 8x² - 11x + 148
Step-by-step explanation:
Given that x = 6 + i is a root then x = 6 - i is also a root
Complex roots occur as conjugate pairs.
The factors are therefore (x - (6 + i)) and(x - (6 - i))
Given x = - 4 is a root then (x + 4) is a factor
The polynomial is the product of the factors, that is
p(x) = (x + 4)(x - (6 + i))(x - (6 - i))
= (x + 4)(x - 6 - i)(x - 6 + i)
= (x + 4)((x - 6)² - i²)
= (x + 4)(x² - 12x + 36 + 1)
= (x + 4)(x² - 12x + 37) ← distribute
= x³ + 4x² - 12x² - 48x + 37x + 148
= x³ - 8x² - 11x + 148
Answer:
13 1/8
Step-by-step explanation:
3/2* 7/2*5/2
= 105/8
= 13 1/8
Step-by-step explanation:
The sequence is as follows :
-59 ,-67 ,-65 ,-53 ,-31 ,...
The first term = -59
The second term = -67
Common difference = second term - first term
To calculate the second term add (-8).
To calculate each additional term, increase the amount added by -8.
5/2 is already in its simplest form. You cannot reduce this fraction any further.
Answer:
254
Step-by-step explanation:
the angle is 254
