PURE MATH 1
, Chapter 1
.Y
1 and
1 1 . Index laws Negative fractional indices
am xan =
am
+n
am = m a
m
= am
am
-n
am : an = an a = 1
(am)n =
an
(ab)" = anbh 1 5. Surds = x =
Chapter 2
ax2 + bx + c = 0
Discriminant- >
Factorising >
Completing the
-
> square
-
D = b2 -Yac m+n = b ax2 + bx + c=
a((x za) (Ea(z)
+ -
+ c
x = -
bt D mn =
C
aa ax2 + m x + nx + c = 0 * Turning point
a(x p)2
+ +
q
* Do has 2 real roots ( -
p , q)
Do has no real roots
& =
o has one root
Chapter 3
shading
I solid line
< dashed line
ChapterY
ax3 + bx2 + cx + d = 0
A &
> &
a > 0 a < 0
, Chapter 1
.Y
1 and
1 1 . Index laws Negative fractional indices
am xan =
am
+n
am = m a
m
= am
am
-n
am : an = an a = 1
(am)n =
an
(ab)" = anbh 1 5. Surds = x =
Chapter 2
ax2 + bx + c = 0
Discriminant- >
Factorising >
Completing the
-
> square
-
D = b2 -Yac m+n = b ax2 + bx + c=
a((x za) (Ea(z)
+ -
+ c
x = -
bt D mn =
C
aa ax2 + m x + nx + c = 0 * Turning point
a(x p)2
+ +
q
* Do has 2 real roots ( -
p , q)
Do has no real roots
& =
o has one root
Chapter 3
shading
I solid line
< dashed line
ChapterY
ax3 + bx2 + cx + d = 0
A &
> &
a > 0 a < 0
