Work Before Mocks Flashcards
Important Rearranging methods H = /(x2 + y2)
\_\_\_\_\_\_\_\_\_\_ H = /(x2 + y2) Square all H2 = x2 + y2 -y2 H2 - y2 = x2 \_\_\_\_\_\_\_\_ /(h2 - y2) = x2 Then square root all
Important Rearranging methods ____
(T = 2pie/ (L/g)
\_\_\_\_\_\_ T/2pie = /(L/G) Square all T2/4pie2 = L/G Rearrange by X out the denominators and dividing by T2 G = 4pie2L/T2
Important Rearranging methods 1/f = 1/u + 1/v
Change about the right side
1/f = v + u/uv
Rearrange
F = uv/v + u
Example of division of polynomials
Divide x3 + 10x2 + 25x + 4 by X + 4
X2 + 6x + 1
_____________________
X + 4/x3 + 10x2 + 25x + 4
Factor theorem
Example: Show that X - 2 is a factor of X3 + X2 - 4X - 4
F(X) = X3 + X2 - 4X - 4 F(2) = (2)3 + (2)2 - 4(2) - 4 = 0
What is the reminder theorem?
When dividing polynomials are used, the reminder os the same if the number it was divided by is used in the reminder theorem
What can 3x - 2/3x2 be rewritten as to be simplified
3x2 = 3x + 3x
X3/3x - x2-/3x =
1/3 x - 2/3x
What three techniques are there for solving quadratics
Factorising
The quadratic formula
Completing the square
What is the quadratic formula
____________________
-B +or- /b2 - 4XAXC
_____________________________
2A
What is the completing the square formula
A(X - B)2 + C
How do you do quadratic inequalities
Find the set of values for x for which the formula is below or above 0
(Draw a graph)
How to find the distance between two points on a graph
The first X in 1X
_______________________
/(2X - 1X)2 + (2Y - 1Y)2
How do you find the coordinates of the midpoint
The first X in 1X
1X + 2X 1Y + 2Y
(________ , ___________)
2. 2
E.g (2,3),(1,1)
2+ 1 3+ 1 (\_\_\_\_\_\_\_\_ , \_\_\_\_\_\_\_\_\_\_\_)
2. 2 (1.5,2)
How do you find the gradient of a line
Change in Y
_____________
Change in X
What do perpendicular lines have in common
They all have a product of -1
E.g -3 x 1/3 = -1
So perpendicular
Meet at a right angle
