Unit 2.5- summer 2018

Question 1

complex number

Answer 1

have a real and imaginary part

Question 2

index of radical

Answer 2

is the “root” of the exponent tree aka 1/2 is exponent so index is two

Question 3

radicand

Answer 3

what is inside brackets

Question 4

complex number system

Answer 4

contains all real numbers

Question 5

standard form

Answer 5

a + bi

Question 6

i^2 can be replaced by

Answer 6

-1

Question 7

i^0

Answer 7

1

Question 8

i^1

Answer 8

i

Question 9

i^2

Answer 9

-1

Question 10

i^3

Answer 10

-i

Question 11

i^4

Answer 11

1

Question 12

i^5

Answer 12

i

Question 13

factor theorem

Answer 13

when you divide the polynomial by a factor, that is a factor only if f(a –> the root) equals zero

Question 14

remainder theorem: f(x) is divided by x-n

Answer 14

the remainder is f(n)

Question 15

remainder theorem: f(x) is divided by ax-b

Answer 15

remainder is f(b/a)

Question 16

a + bi=c + di

Answer 16

if a =c and b=d

Question 17

root of -25 can be written as

Answer 17

5i

Question 18

to find higher powers of i,

Answer 18

divide i^n n by 4 and match the remainder to a power listed above

Question 19

negative real number has

Answer 19

two square roots in the complex number system

Question 20

complex solutions can be found for eons that have

Answer 20

no real solutions

Question 21

every quadratic eon with real coefficients has

Answer 21

solutions in the complex number system

Question 22

if a + bi is a solution to a polynomial eon,

Answer 22

then a-bi must also be a solution

Question 23

division statement thingy

Answer 23

quotient times divisor plus remainder = dividend

Question 24

entire radical

Answer 24

the full, unsimplified radical

Question 25

before dividing polynomials

Answer 25

check that

1) the exponents are in descending order
2) any missing degrees are inserted with “0”

Question 26

fundamental theorem of algebra

Answer 26

polynomial with degree n (greater than 1), with real or complex coefficients must have a factor in the form of x-r where r may be real or complex

Question 27

irreducible over real number

Answer 27

polynomial that has no real roots

Question 28

teacher thing- exponents

Answer 28

when it is an incomplete exponent, just write it as a fraction ex. g^5/4

Question 29

radicals multiply…

Answer 29

multiply the stuff under the root!

Question 30

division don’t mess up

Answer 30

signs while you work!