Videos
Introduction
500
Introduction to Polynomial Expressions
135
Discriminant of a Quadratic Equation and Nature of it's Roots
396
Practice: Nature of Roots
103
Irrational and Unequal Roots of a Quadratic Equation
207
Rational and Distinct Roots of a Quadratic Equation
95
Integral and Distinct Roots of a Quadratic Equation
195
Practice: Nature of Roots of a Quadratic Equation
112
Relation between Roots and Coefficients
311
Additional Relations between Roots and Coefficients
351
Introduction to Quadratic Expression and Equation
108
Roots and Zeros
220
Numbers of Roots of a Polynomial Equation
69
Difference between an Identity and an Equation
93
Converting an Equation into an Identity
196
Graph of y=x^2
478
Graph of y=-x^2
334
Relation between the graph of y=x^2 and y=-x^2
82
Opening Upwards & Opening Downwards
137
Nature of Graphs: a>0; D>0
306
Properties for Graphs of Quadratic Equations for a>0; D>0
44
Nature of Graphs: a>0; D=0
250
Nature of Graphs: a>0; D<0
93
Practice: Nature of Graphs of Quadratic Expressions for a>0
149
Nature of Graphs: a<0; D>0
157
Nature of Graphs: a<0; D=0
82
Nature of Graphs: a<0; D=0
278
Practice: Nature of Graphs of Quadratic Expressions for a<0
50
Vertex of a Quadratic Polynomial
119
Expression for Vertex of a Quadratic Expression
381
Finding Vertex of a Quadratic Equation using Differentiation
239
y- Intercept of a Quadratic Polynomial
133
Practice: Graphs of Quadratic Expression
47
Range of Quadratic Polynomial for a>0
313
Range of Quadratic Polynomial for a<0
183
Quadratic Equation as Product of Two Linear Factors
173
Methods to Solve a Quadratic Equation: By Factorization Method
238
Methods to Solve a Quadratic Equation: Completing the Square Method
269
Practice: Range of Quadratic Polynomial
517
Methods to Solve a Quadratic Equation: Using Quadratic Formulae
165
"Location of Roots: Roots greater than a Real Number k "
332
"Location of Roots: Roots less than a Real Number k"
126
"Location of Roots: Real Number k lying between the Roots"
102
Practice: Location of Roots
98
"Location of Roots: Roots lying Between Two Numbers. "
339
"Location of Roots: k1 and k2 lie between the Roots"
109
"Location of Roots: Atleast one Root lie between k1 and k2"
173
"Location of Roots: Atleast one Root greater than k"
340
Practice: Location of Roots - II
103
Quadratic Equations with Exactly One Root Common
553
Quadratic Equations with Both Roots Common
407
Transformation of Roots: α, β to -α, -β
372
Transformation of Roots: α, β to α±k, β±k
185
Transformation of Roots: α, β to kα, kβ
118
Introduction to Biquadratic Equations
129
Transformation of Roots: α, β to kα+s, kβ+s
168
Transformation of Roots: α, β to 1/α, 1/β
141
Biquadratic Equation of the Form: ax^4+bx^3+cx^2+bx+a=0
408
Transformation of Roots: α, β to α^2, β^2
116
Transformation of Roots: α, β to √α, √β
164
Biquadratic Equation of the Form: (x-a)(x-b)(x-c)(x-d)=A, where a+b=c+d
129
Algebra of Roots of Quadratic Equations
322
Biquadratic Equation of the Form: (x-a)(x-b)(x-c)(x-d)=Ax^2, where ab=cd
214
Practice: Biquadratic Equations
87
Cubic Polynomial
484
Graphs of Cubic Polynomial
486
Fundamental Theorem of Algebra
254
Descarte's Rule for Positive Roots
254
Descarte's Rule for Negative Roots
264
Practice: Descarte's Rule
88
"Relation Between Roots and Coefficients for Equations of degree 3"
268
"Relation Between Roots and Coefficients for Equations of degree 4"
232
"Relation Between Roots and Coefficients for Equations of degree 'n'"
419
Remainder Theorem
181
Factor Theorem
134
Practice: Graphs of Quadratic Expression
35