Page 5 - Math SL HB Sem 1
P. 5
PRIi I,]D KNOW I,I.]D(;E
I. ALGEBRAIC EXPRESSIONS
> Identities 2x, _ 3x _2 : (2x + l)(x 2) both sides are equal for an1, valuc
of the unknorvn quanity x
) Equations (x + Z), :2x+7
rclationship is only true lbr a
number of distinct values ofthe
unknotvn quantit),(quantities)
called the solu tions
F Inequalities 6x- I <3(x+2)
the solution ofan inequaliry is a
rangc(s) of values ofthe variable
involved thar satisfy thc
relationship
) Functions l:x +(x-3),
f is a rule that maps x Io
llx)-(x-3)'z.xisan
independent variable and t(x) is
the dependent variable
) Polynonrials
Polynomial is the sum of
an xn + nn-,1n-l * ar-zxn-2 + . --+ a0
monomials of different degrees.
The highest power ofx in the
polynorrial dcfines the degree or
order olthe polynornial.
) Rational Expressions
p(x) 3x_2
QG) x+t P(x) and Q(x) are polynomials
. Pt x\
I ne ratto J can be:
QQ)
l. proper - degree of numerator <
degree of denominator
2. improper - degree ofnumerator
> degree of denominator
I
