Summary IGCSE Edexcel Further Pure Math

Formulas and Rules | IGCSE Edexcel Further Pure Math



Surds
1. √ √ √
2. √ √ √
3. √a / √b and √a - √b are conjugate surds. The product of conjugate surds is a rational
number.




Indices
1. Am x an = a m + n
2. am / an = am – n
3. (am)n = amn
4. a0 = 1
5. a –n =

6. = n√a
7. = n√am = (n√a)m




Logarithms
1. log a + log b = logab
2. log a – log b = log
3. a log x y = log x y a
4. log a a = 1
5. loga =

6. loga1 = 0
7. log a b = a




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, Formulas and Rules | IGCSE Edexcel Further Pure Math



Binomial theorem
1. (x + y)n = xn + (nc1 * xn-1 * y)+ (nc2 * xn-2 * y2n)+ ( nc3 xn-3 y3 ) + ( nc4 xn-4 y4 ) ………………………
2. (r+1)th term = ( ncr xn-r yr )




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, Formulas and Rules | IGCSE Edexcel Further Pure Math



Quadratic Equation
Nature of roots
# ax2 + bx + c = 0

1. If b2 – 4ac > 0, roots are real & different / real and distinct and the curve y = ax2 + bx + c
will cut the x axis at two real and distinct points




2. If b2 – 4ac < 0, roots are not real/ imaginary / complex and the curve y = ax2 + bx + c will
lie entirely above the x axis if a > 0 and entirely below the x axis if a < 0.




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