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:
141/2, 279/4
Step-by-step explanation:
Answer:
x = 2
Step-by-step explanation:
10x + 1 = 2(3x + 5) - 1
- mutlipy the 2 to the 3x and the 5
- you should get 10x + 1 = 6x + 10 - 1
- now you have to add the combine terms
- so it will now be 10x + 1 = 6x + 9
- now you.have to get the x's on one side and the constants (numbers alone) on the other side
- so you can subtract the 6x on both sides
- once you do that you wil get 4x + 1 = 9
- After you get this equation you will have to subtract the one from both sides.
- you will get 4x = 8
- All you have to do it divide 4 on both sides. Your final answer is x = 2.
