Units 1 & 2 Mathematical Methods
Cubic Functions Worksheet 1
Name________________________
1
Consider the polynomial:
P( x)  3x 5  2 x 3  x  2
a) What is the degree of the polynomial?
b) What is the coefficient of x?
2
Circle which of the following are polynomial
expressions?
a) x  3
b) x 2  3x 1  2 x 0
c) x 5  3x 2  2 x 1
1
d) x 5  3x 2  2 x 2
5 x 5  3x 2  2 x
e)
3
Expand:
( x  2)x  4x  5
Year 11 MM (CAS) – Due Date: Tuesday 14 April 2015
4
Expand:
2(3  x) 2 4 x  1
5
Expand:
3
 5 x  2
6
Divide x 3  x 2  3x  5 by x  2 and state the
quotient and remainder.
7
Divide 6 x 3  3x 2  x  1 by 2x  7 and state
the quotient and remainder.
Year 11 MM (CAS) – Due Date: Tuesday 14 April 2015
8
For P( x)  x3  4 x2  2 x  5 , find P (1) and
P ( 2a ) .
9
For P( x)  x 3  3x 2  5x  17 , find P(a  3) .
10
For P( x)  x 3  4 x 2  6 x  9 , find P ( x  h) .
Year 11 MM (CAS) – Due Date: Tuesday 14 April 2015