Q.1.Euclids Division lemma : Given positive integers a and b there exist unique positive integers q and r satisfying a = bq + r , 0 r 
b
Q.2.Fundamental theorem of arithmetic: Every composite no. can be expressed as a product of primes , and this factorization is unique apart from the order in which the prime factor occur.
Q.3.H.C.F X L.C.M =Product of two numbers .
Q.4..a
a + bx + c is a polynomial a 0 ,
sum of the zeroes = 
= 
product of zeroes = 
= 
Q.5.
are zeroes of polynomial :
- 
x+ 
Q.6.
x+ 
Q.7.Cross multiplication method:
X y l
=
=
Q. 8. Nature of roots : a 
+bx +c =0
D =
- 4ac if D = 0 roots are real and equal
If D > 0 roots are real and unequal
If D < 0 roots are imaginary
Quadratic formula 
where D = 
- 4ac
