NP

Question 1

x^3 - x

Answer 1

x(x^2 - 1)
x(x+1)(x-1)

(x-1)x(x+1) -> Consec. #
Divisible by 3

Question 2

x^2 - 1

Answer 2

(x-1)(x+1)

Question 3

x^2 + x

Answer 3

x(x+1)
Consec. #
Product definitely even

Question 4

+20% profit

Answer 4

x 5/6
5/5 + 1/5
1/5 = 20%

Question 5

Two E # are said to be consecutive if the difference between them is ___

Answer 5

2

Question 6

Two O # are said to be consecutive if the difference between them is ___

Answer 6

2

Question 7

For a # to be divisible by 2 it must be _____

Answer 7

even

Question 8

T/F

0 is an E #

Answer 8

True

Question 9

T/F

0 is not an O #

Answer 9

true

Question 10

T/F

0 is a non-positive E #

Answer 10

true

0 + all negative E #

Question 11

Any integer multiplied by an E # = E

Answer 11

O x E = E

E x E = E

Question 12

When multiplying any integer by an O #, we get an integer whose E/O nature will be same as that of the given integer

Answer 12

O x O = O

E x O = E

Question 13

T/F

Multiplying by an O # does not affect E/O nature

Answer 13

When multiplying any integer by an O #, we get an integer whose E/O nature will be same as that of the given integer

O x O = O
E x O = E

Question 14

Any positive power doesn’t affect the E/O nature of an integer

Answer 14

2^2 = E^E

Question 15

Any # raised to the power 0 is 1

Answer 15

18^0 = 1

Question 16

a/b=E in product?

Answer 16

a = b x E

Question 17

E / O = _____

Answer 17

E

O x E = E

Question 18

O x O = ______

Answer 18

O

O x O = O

Question 19

A product is O if :

Answer 19

O x O = O

Question 20

A product is E if

Answer 20

1) one of the terms if E
O x E = E
2) both terms are E
E x E = E

Question 21

a^2 + a + 1

Answer 21

a (a+1)

2 consec. # -> 1 O, 1 E

Question 22

n^3 - n = E ?

Answer 22

Yes, 
n(n^2 - 1)
(Power doesn't change)
n(n-1)
1 consec. # -> 1 E, 1 O -> product always E