Further maths.All needed to pass.

Further Maths: Core Pure 1
What is the distance between two points on an argand diagram?

| Z1 - Z2 |

What does | Z1 - Z2 | = x represent?

A circle with centre Z2 and radius x

What does | Z - Z1 | = | Z - Z2 | represent on argand diagram?

The perpendicular bisector between Z1 and Z2

What does arg (Z - Z1) = x represent?

A half line from the point Z1 making an angle x with the real axis

What does | Z1 Z2 | equal?

|Z1| x |Z2|

What does arg (Z1 Z2) equal?

arg(Z1) + arg(Z2)

What does |Z1 / Z2 | equal?

|Z1| / |Z2|

What does arg (Z1/Z2) equal?

arg (Z1) - arg (Z2)

What is the standard result from summing from r=1 to n of 1?

n

What is the standard result from summing from r=1 to n of r?

0.5n(n+1)

How do you use summa+on formula when r=k not 1?

sum from r=1 to n, the subtract summing from r=1 to k-1.

What are the signs for the le-ers in roots of polynomials?

-b c -d e

Recall the formulas of roots for a quadra+c.