how to find factors in factorisation
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the quadratic equation in this form:
Quadratic Equation
ax^2+bx+c=0
Step 1: Find two numbers that multiply to give ac (in other words a times c), and add to give b.
Example: 2x2 + 7x + 3
ac is 2×3 = 6 and b is 7
So we want two numbers that multiply together to make 6, and add up to 7
In fact 6 and 1 do that (6×1=6, and 6+1=7)
How do we find 6 and 1?
It helps to list the factors of ac=6, and then try adding some to get b=7.
Factors of 6 include 1, 2, 3 and 6.
1 and 6 add to 7, and 6×1=6.
The hardest part is finding two numbers that multiply to give ac, and add to give b.
It is partly guesswork, and it helps to list out all the factors.
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