Page 5 - Math SL HB Sem 1

KNOW E

I. AI,GEI]ITAI(] EXPRESSIONS
r,
! Idcntities 2x 3x 2
= (2x + lxx 2) both sides are equal for any valuc
ofthe unknorvn quanity x
F Equations (x+2)2 =Zx+1
relationship is only true lor a
number of distinct vatues ofthe
unknorvn quantity(quantities)
called the solu tions
) Inequalities 6x-l <3(x+2)
the solution olan inequality is a
range(s) of values ofthe variable
involved thar satisfy rhe
relationship

) Functions f: x + (x _3
), f is a rule that tnaps x to
f(x)=(x-3)'z.xisan
independenl variable and f1x,1 is
the dependenl variable
! Polynomials
Polynomial is the sum of
an xn + an,,1'' +rr_r*n, +...+ ao
monomials of diflerent degrees.
Tlre highest power olx in the
polynornial defines tlre degree or
order ol the polynorrial.

) Rational Exprcssions
P(r) 3x _2
QG) .r+l P(x) and Q(x) are polynomials
The ratio i{4 b",

QG) "u,
l. proper - degree ofnumerator <
degree ofdenominator
2. improper - degree olnumerator
> degree of denominator