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Maths Quick Revision for sec 2/3/4 students

**Quadratic Equation**

Master My Maths

1. Factorize

a) x ² -25

b) 2x ² - 18

c) 25x ² -4 x ² y ²

d) 16 x ⁴ -16

e) 2 m ² - 4m

f) 2x ² - 2x -12

g)x ² -5x -6

h) 2(x ² -4) - x-2

i) x ² /9 - 16

2 . Factorise the followings :

a) (x-y) (2p + 3q ) -(y-x) ( 4p + 5q)

b) 4a ² x + 12 a ² y - 3y - x

c) 4a ² - 9 ( a+b) ²

d) 2x ² -14x +24

e) x ² - 4xy + 4y ² -1

f) m ⁵ - m

g) mp -q + mq -p

h) 8-2( x-2) ² and hence draw the graph stating the x and y intercepts and the line of symmetry.

3a) Given 9x ² -12xy + 4y ² =0 , find the value of 2x/y

b)Given that ax-2ay-3bx+4by =0, find 3x/4y in terms of a and b

4) solve the following

a) x ² -9 = 0

b) 2(2x -1) ² - 8 = 0

c) x(x +2) = 0

d) 3x ² - 6 = 0

e) a ² - a = 6

f) x/2-x/4 -1 = 0

g) (x -3)(x+2) =0

h) x ² +2 = 2

I) x ² - 2x + 1 = 0

5)Solve using perfect square method

a) 2 x ² -6x + 15 =0

b) x ² = 4x + 3

6 ) solve using formulae

a) -x ² - 4 x -2=0

b) 3 a ² -12 a = 9

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