Unit 2  Exercise 1

 

Polynomials

 

1.                   Factorise the following polynomials:

 

a)                          b)        

 

            c)                         d)        

 

 

2.                   This diagram shows part of the curve with equation   Find the coordinates of a, b, c and d, the points where the curve crosses the x and y axis.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 


3.                   If (x+1) is a factor of y = 2x3 + px2 –7x –12, find all other factors of y.

 

4.                   If (x-2) is a factor of y = 4x3 + px2 –11x + 6, find all other factors of y.

 

5.                   Given that (x+3) and (x-2) are factors of y = 2x3 + px2 + qx + 6, find p and q, and the other factor of y.

 

6.                   Find the coordinates of the points of intersection of the curve y = 2x3 - 3x2 + x + 1 and the line

y = 4x – 1