,polynomials types 1 .
1
linear
554
quadratic
ja
Cubic
S
Quartic
wa
Functions and relations
Ways of representing functions
1. Tables
2. Coordinates
3. Graph
4. Mapping (Bubble diagrams)
5. Equations
, Describing Polynomial expressions 1 2
.
Function
Relation where each input has exact 1 output
2x 3
ex
f(x)
=
.
Algebraic expression
mathematical phrase with numbers, variables and operations
ex)3x2 -
5x + 7
One variable polynomial expression
·
contains -
1 letter of alphabet
up of 3 terms
·
made
ex)7x2 + X -
3
Xember
↑
/number + variable)
7X2
& is the coeffient of x2
expression
↓
7,The constant
(contains onlyI number)
Polynomial expression Not polynomial expression
Exponents are + or zero Exponents are -
Exponents are whole #’s Exponents are fractions
The bases are variables Some terms are divided by a variable
the variable is the same have sin and log
Standard and factored form number base and variable exponent
, Homework 1 2
.
1 . Determine whether each of the following expression is a polynomial expression or not
9) 2x -
5 (not Contains root
b)(7x + q)2(1 x) -
whole Numbers and positive exponent
C) X -
2x 3 (not) negative exponent
d) 7 (not) divided
2
. State the degree of each polynomial expression (highest exponent)
a)x"+ 9 Degree = 1
b)16x2 - x + 9 Degree = 2
c)(x3 + 8x2 -
3x + 9 Degree = 3
d) 2x4 - 11x2 + X -
23 Degree = 4
.
3 Determine whether each of the following expression is a polynomial expression or not
a)xz' 10x (not) Divison
b)9x" + 3x(not) Has negative exponent
c)(3x -
7)2(x + 33) Exponent are whole and positive
d) 7x + 13 (not) Contains root
e) 2x4 + 9x2 -
11 Positive exponents and whole numbers
.
4 State the degree of each polynomial expression
a)2x4 + 9x2 -
11 Degree = 4 e) f(x) = (9x + 2)(2x -
3)(127x + 8)(x2 + 1)
degree= S
b)6x -
9 Degree = 1
f) y
= πrz
c)x3 + 8x2 -
3x + 9 Degree = 3 A polynomial
d) 13x2 -
9X + 100 Degree = 2 g) f(x) = (x 2)(2x
-
+ 3)(9X -
7)
Coefficient =
18X (multiply brackets)
1
linear
554
quadratic
ja
Cubic
S
Quartic
wa
Functions and relations
Ways of representing functions
1. Tables
2. Coordinates
3. Graph
4. Mapping (Bubble diagrams)
5. Equations
, Describing Polynomial expressions 1 2
.
Function
Relation where each input has exact 1 output
2x 3
ex
f(x)
=
.
Algebraic expression
mathematical phrase with numbers, variables and operations
ex)3x2 -
5x + 7
One variable polynomial expression
·
contains -
1 letter of alphabet
up of 3 terms
·
made
ex)7x2 + X -
3
Xember
↑
/number + variable)
7X2
& is the coeffient of x2
expression
↓
7,The constant
(contains onlyI number)
Polynomial expression Not polynomial expression
Exponents are + or zero Exponents are -
Exponents are whole #’s Exponents are fractions
The bases are variables Some terms are divided by a variable
the variable is the same have sin and log
Standard and factored form number base and variable exponent
, Homework 1 2
.
1 . Determine whether each of the following expression is a polynomial expression or not
9) 2x -
5 (not Contains root
b)(7x + q)2(1 x) -
whole Numbers and positive exponent
C) X -
2x 3 (not) negative exponent
d) 7 (not) divided
2
. State the degree of each polynomial expression (highest exponent)
a)x"+ 9 Degree = 1
b)16x2 - x + 9 Degree = 2
c)(x3 + 8x2 -
3x + 9 Degree = 3
d) 2x4 - 11x2 + X -
23 Degree = 4
.
3 Determine whether each of the following expression is a polynomial expression or not
a)xz' 10x (not) Divison
b)9x" + 3x(not) Has negative exponent
c)(3x -
7)2(x + 33) Exponent are whole and positive
d) 7x + 13 (not) Contains root
e) 2x4 + 9x2 -
11 Positive exponents and whole numbers
.
4 State the degree of each polynomial expression
a)2x4 + 9x2 -
11 Degree = 4 e) f(x) = (9x + 2)(2x -
3)(127x + 8)(x2 + 1)
degree= S
b)6x -
9 Degree = 1
f) y
= πrz
c)x3 + 8x2 -
3x + 9 Degree = 3 A polynomial
d) 13x2 -
9X + 100 Degree = 2 g) f(x) = (x 2)(2x
-
+ 3)(9X -
7)
Coefficient =
18X (multiply brackets)
