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:
Circumference = diameter × π
Take π =3. 14
3x+25=90
-25=-25
3x=65
x=26.6666666666666666666666
I hope this helps!
Answer:
x = 7
Step-by-step explanation:
first subtract 4 from both sides
-3x = -21
divide both sides by negative 3
x = 7
Answer:
If the sphere has a radius of 4, you can use the equation: V=4/3(pi)(r)^3
Step-by-step explanation:
V=4/3(pi)(r)^3
V=4/3(pi)(4)^3
