What is 2.01 as a decimal
2 answers:
You might be interested in
Not addition, since 
and 0 doesn't belong to the set.
Not subtraction, since
.
It is closed under multiplication. The set appears to contain all non-zero multiples of 3.
Not division, since dividing some of the numbers results in rationals which do not belong to the set.
What other operations are you supposed to consider?
Not subtraction, since
It is closed under multiplication. The set appears to contain all non-zero multiples of 3.
Not division, since dividing some of the numbers results in rationals which do not belong to the set.
What other operations are you supposed to consider?
This will be a 4th degree polynomial. Our root of x = 7 in factorization form is (x-7). Our root of x = -11 in factorization form is (x+11) and the last one is a complex number. According to the conjugate root theorem, if we have 2+8i, we also HAVE to have 2-8i. In factorization form that first one is (x-(2+8i)) which simplifies to (x-2-8i). Its conjugate in factorization form is (x-2+8i). Now we will FOIL all that out. Let's start with the (x-2-8i)(x-2+8i). That multiplies out to 
. We have to combine like terms here to shorten that a bit. 
. i^2 is equal to -1, and -1(64) = -64. Now we have 
. That is 
. Now let's FOIL in another factorization. 
. That comes out to 
. One more term to go! 
. That, finally, is 
.