Page 13 - E booklet prep 3 bader 2025 b_Neat

4-Polynomial functions

Any function f : R ?R , write in the form
f( x ) = ???? + ?????? + ???????? + ???????? +……………+ ????????
Where:
???? , ???? , ???? , ???? , ???? ? R and n ? N ???? ? 0
Is called polynomial function

Notes:

? The degree of the polynomial function is the highest power of the
variable

? The constant function
f( x ) = a , a ? R – { 0 } its degree is zero

Example 1:

Which of the following function represents polynomial?

a) f( x ) = ???? + ???? + ?? polynomial

b) f( x ) = ???? + ?? + ?? Not polynomial

??

c) f( x ) = ???? + v?? + ?? Not polynomial

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