Algebra: Expanding and Factorising (Quadratics included)

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Slide 1

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Math Revision
When expanding brackets you are
3 (2t + 6)) working out what it would equal by
getting rid of the brackets.
To get rid of the brackets you simply get rid of
3 (2t + 6)) the number or letter before the brackets
The way to get rid of it is by multiplying it out,
3 (2t + 6)) so you multiply what's outside the brackets by
3x2t= 6t what is inside the bracket
3 (2t + 6) Now that you have worked out what it Answer:
multiplies out to be, you simply put it back into
3x6= 18) an equation 6t+18…read more

Slide 2

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Math Revision
When factorising you are working
out how from an equation you get
x2 + 5x + 6) the answer. In other words you
doing the inverse to work out the
x2 + 5x + 6)
You first take a look at the numbers after x2
2 which are 5x and 6. You work out the factors
x multiplied by x = x of 6 which are
2x 3= 6 1 and 6
2 and 3
2x+3x= 5x ) You then analyze the factors in order to see
which two numbers add up to 5 which are 2
and 3.
After finding the numbers out, we
can easily put it into an equation. (x+2) (x+3)…read more

Slide 3

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Math Revision
When factorising this type of
question you are once again putting
6t+15=) it back into brackets. Putting the
answer back into a question
You find out the common factor between the two numbers in order to
work out the number its multiplied outside the brackets.
Factors of 6 Factors of 15
6, 1, 2, 3 3, 15, 5, 1
6t/ 3 = 2
The number that is present in both of them is 3
Now we know the number outside the brackets is 3
15/ 3 = 5 So we divide 6 and 15 by which is 2 and 5
2t and 5
) 3(2t + 5)…read more

Slide 4

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Math Revision
Factorising Quadratic
You expand the brackets in order to
x - 9x + 20 = 0 work out what x can equal
It is very easy to work out what x can be because when a
(x - 5) (x- 4)= 0 number is taken away by it self it equals 0.If unsure about
x= 5 or x= 4 what x can equal you can substitute the values for example
put in the number into the equation
For example: we put 5 into the equation because 5 -5 = 0
25- 45 = -20 x2 - 9x + 20 = 0
25- 45 + 20 = 0
25 is from x multiplied by x x being 5
-20 + 20= 0 45 is from x multiplied by 9
x= 5 or x= 4…read more


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