Test 1- Ch. A

Question 1

determine the values that must be excluded from the domain of the variable in each expression.

Answer 1

whatever makes the denominator zero

Question 2

determine the domain of the variable x in each expression

Answer 2

x can’t equal (=/) whatever would make the denominator zero

Question 3

negative in parenthesis

Answer 3

attached to number

Question 4

negative not in parenthesis

Answer 4

not attached to number

Question 5

negative exponent

Answer 5

switch entire numerator and denominator

Question 6

exponents (out of parenthesis) of exponents in parenthesis

Answer 6

multiply

Question 7

exponents right out side of parenthesis

Answer 7

square number and multiply exponent

Question 8

divide exponents

Answer 8

subtract them

Question 9

number and letter

Answer 9

do not go together so only letters switch if negative exponent, numbers stay and do not go with them

Question 10

add, subtract, multiply polynomials

Answer 10

distribute and combine like terms

Question 11

how to cube polynomials

Answer 11

square, then do long multiplication

Question 12

long division polynomials

Answer 12

1. look at first terms outside and inside division sign
2. whatever you multiply outside to get inside goes on top
3. multiply that top number by every term on outside and put under values under division sign
4. switch signs of what you put under
5. see if first term goes into first term of remained, if not that is your remainder, if yes then do it again

Question 13

Factoring remember

Answer 13

1. GCF

2. Factor out completely

Question 14

different of perfect squares

Answer 14

(perfect squared term x+- perfect squared term of second value)(perfect squared term x +- perfect squared term of second value)

Question 15

Sum of perfect cubes

Answer 15

First you have simplify to what its the perfect cube of and those numbers are your a and b
a3+b3= (a+b)(a2-ab+b2)
+ - +

Question 16

difference of perfect cubes

Answer 16

First you have simplify to what its the perfect cube of and those numbers are your a and b
a3-b3=(a-b)(a2+ab+b2)
- + +

Question 17

if polynomial can’t be factored

Answer 17

say its prime

Question 18

determine the number that should be added to complete the square of each expression then factor each expression

Answer 18

half of b square=number

(x+-b)^2=factored expression

Question 19

synthetic division “divided by”

Answer 19

use opposite value

Question 20

synthetic division ;x-?

Answer 20

use opposite value

Question 21

synthetic division is a factor if

Answer 21

=0

Question 22

simplify radical expression

Answer 22

factor out top and bottom and cancel out

Question 23

add, subtract, multiply, divide ration expressions

Answer 23

1. Put fractions next to each other (turn division into multiplication)
2. Factor
3. Cancel out
4. Combine
5. Simplify

Question 24

as soon as possible

Answer 24

one fraction

Question 25

solve each equation

Answer 25

combine like terms

- set to zero

Question 26

two x’s

Answer 26

2 values of x

- check for extraneous solution

Question 27

solving absolute value equation

Answer 27

make one equal to positive and one equal to negative and solve

Question 28

absolute value equals negative number

Answer 28

no solution

Question 29

(4(x-2))^x=

Answer 29

4x(x-2)

Question 30

discriminate

Answer 30

b^2-4ac

Question 31

if b^2-4ac>0

Answer 31

two unequal real solutions

Question 32

if b^2-4ac=0

Answer 32

repeated real solution

Question 33

if b^2-4ac

Answer 33

no real solution