pure

Question 1

factor theorem?

Answer 1

if f(b/a)=0 then (ax-b) is a factor (the thing that makes the bracket zero)

Question 2

in partial fractions but it’s an improper fraction, what do you do?

Answer 2

divide the numerator by the denominator and keep the remainder over the fraction ( just like with normal numbers!)

Question 3

what is the discriminant?

Answer 3

b^2-4ac

Question 4

if the discriminant is 0…

Answer 4

there is one real root

Question 5

if the discriminant is less than zero…

Answer 5

there are no real roots

Question 6

if the discriminant is greater than zero…

Answer 6

there are two real roots

Question 7

positive cubic shape

Answer 7

/\/

Question 8

negative cubic shape

Answer 8

\/\

Question 9

positive quartic shape

Answer 9

\/\/

Question 10

negative quartic shape

Answer 10

/\/\

Question 11

a repeated root on a graph means it is…

Answer 11

tangent

Question 12

a ^3 repeated root means…

Answer 12

point of infliction

Question 13

a ^4 repeated root means…

Answer 13

a wide and low parabola

Question 14

what is an asymptote

Answer 14

where a graph approaches a line but never touches it

Question 15

f(x+1) on point (4,3)

Answer 15

3,3

Question 16

f(2x) on (4,3)

Answer 16

2,3

Question 17

3f(x) on (4,3)

Answer 17

4,9

Question 18

f(x)-1 on (4,3)

Answer 18

4,2

Question 19

f(x/4) on (4,3)

Answer 19

16,3

Question 20

f(-x) on (4,3)

Answer 20

-4,3

Question 21

-f(x) on (4,3)

Answer 21

4,-3