REAL NUMBERS
3.Fundamental Theorem 5.Irrational numbers
1.Introduction of Arithmetic
Theorem 1.1 Theorem 1.2 Theorem 1.6 Examples
√𝟐
Logarith
2.Euclid’s Division 4.Rational numbers- 5-√𝟑
Lemma Decimal Expansions 𝟑√𝟑 Introduction P
Problems using 𝟐 + √𝟑
Lemma 𝒍𝒐𝒈𝒂 𝒙𝒚 = 𝒍𝒐𝒈𝒂
𝒙
Theorem 1.3 Theorem 1.4 Theorem 1.5 𝒍𝒐𝒈𝒂 ( ) = 𝒍𝒐𝒈𝒂
𝒚
𝒍𝒐𝒈𝒂 𝒙n = 𝐧
Problem
Logar
, 4.Relationship between 5.D
3.Working with
1.Introduction 2.Polynomial Zeroes and Co-efficiants of a Algor
Polynomials Polynomial. poly
Monomial Degree of a Linear polynomial
−𝒃
Polynomial P(x)= ax+b 𝜶=
Graphical meaning 𝒂
(zeroes=𝜶)
Binomial of the zeroes of a
Value of a Polynomial Quadratic polynomial 𝜶+𝜷= 𝒂
−𝒃
Multinomial Polynomial P(x)= a𝒙𝟐+bx+c 𝜶𝜷 =
𝒄
(zeroes= 𝜶, 𝜷) 𝒂
Zeroes of a −𝒃
𝜶+𝜷+𝜸 =
Polynomial Cubic polynomial 𝒂
𝒄
P(x)= a𝒙𝟑+b𝒙𝟐+cx+d 𝜶𝜷 + 𝜷𝜸 + 𝜶𝜸 =
𝒂
Linear quadratic cubic (zeroes= 𝜶, 𝜷, 𝜸) −𝒅
𝜶𝜷𝜸=
𝒂
given any polynomial p(x),and
polynomial g(x),there are p
q(x),r(x) such that p(x)= g(x
3.Fundamental Theorem 5.Irrational numbers
1.Introduction of Arithmetic
Theorem 1.1 Theorem 1.2 Theorem 1.6 Examples
√𝟐
Logarith
2.Euclid’s Division 4.Rational numbers- 5-√𝟑
Lemma Decimal Expansions 𝟑√𝟑 Introduction P
Problems using 𝟐 + √𝟑
Lemma 𝒍𝒐𝒈𝒂 𝒙𝒚 = 𝒍𝒐𝒈𝒂
𝒙
Theorem 1.3 Theorem 1.4 Theorem 1.5 𝒍𝒐𝒈𝒂 ( ) = 𝒍𝒐𝒈𝒂
𝒚
𝒍𝒐𝒈𝒂 𝒙n = 𝐧
Problem
Logar
, 4.Relationship between 5.D
3.Working with
1.Introduction 2.Polynomial Zeroes and Co-efficiants of a Algor
Polynomials Polynomial. poly
Monomial Degree of a Linear polynomial
−𝒃
Polynomial P(x)= ax+b 𝜶=
Graphical meaning 𝒂
(zeroes=𝜶)
Binomial of the zeroes of a
Value of a Polynomial Quadratic polynomial 𝜶+𝜷= 𝒂
−𝒃
Multinomial Polynomial P(x)= a𝒙𝟐+bx+c 𝜶𝜷 =
𝒄
(zeroes= 𝜶, 𝜷) 𝒂
Zeroes of a −𝒃
𝜶+𝜷+𝜸 =
Polynomial Cubic polynomial 𝒂
𝒄
P(x)= a𝒙𝟑+b𝒙𝟐+cx+d 𝜶𝜷 + 𝜷𝜸 + 𝜶𝜸 =
𝒂
Linear quadratic cubic (zeroes= 𝜶, 𝜷, 𝜸) −𝒅
𝜶𝜷𝜸=
𝒂
given any polynomial p(x),and
polynomial g(x),there are p
q(x),r(x) such that p(x)= g(x
