Answer:
(27.00)*(0.0725)= 1.95
27.00 + 1.95 = 28.95
Step-by-step explanation:
First,
, and if we multiply
by
we get

Subtracting this from the numerator gives a remainder of

Next,
, and if we multiply
by
we have

and subtracting this from the previous remainder, we end up with a new remainder of

Next,
, and if we multiply
by
we get

Subtracting from the previous remainder, we get a new remainder of

which contains no more factors of
, so we're done.
So,

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:
54%
Step-by-step explanation: