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In AS/A-Level Mathematics, Indices, Surds & Factorizing are the fundamental topics that students must understand. Let's check them below!
Indices
There are the rules of indices.
Surds
- Numbers like are √2, √3, √11 called surds.
- A surd is an irrational number which means that it cannot be written exactly as a decimal number or in the form where a and b are integers.
- The following rules apply: √ab = √a x √b
- √(a/b) = √(a)/ √(b)
Factorizing
- The process of writing an expression as a product of its factors is called factorization.
Examples:
a2 - b2 = (a+b) (a-b)
(x2+4x+3) = (x+1) (x+3)
- When factorizing a quadratic expression, such as ax2 + bx + c, we are looking to write it in the form (mx+n)(px+q). We need to consider two cases, when a = 1 and when a =/=1
It's done~ Great Job!
