nth degree polynomial with real coefficients has precisely n complex roots . Hence when all root cannot be real. Complex root with Polynomial
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Category: Additional Topic in Math
Arithmetics of complex no
imaginary number is any number of the form a + bi where a and b are real numbers. Addition and Subtraction of complex numbers is to add or subtract real parts and the imaginary parts. complex no
Polynomial
The polynomials are an expression involving a sum of powers in one or more variables multiplied by coefficients and constant. Polynomial linear , quadratic etc as per value of n=1, n = 2 etc . We can graph the polynomial for finding solution. Another polynomial is also use for curve as well as st. line. As […]
Composite Function
Composite functions are defined as one function defined inside another function. Like ff(x)) or f(g(x)) etc. Another function composition is an operation that takes two functions f and g and produces a function h such that h(x) = g(f(x)) Composite function
Properties of logarithm
Properties of logarithms are use to evaluate or rewrite logarithmic expressions. Product Rule : ln x+ ln y = ln xy Quotient Rule : ln x – ln y = ln xy Power Rule : ln yx = x ln y Properties of logarithm
Syllabus of SAT / PSAT Math
SAT which is known Scholastic Aptitude Test . PSAT is the abbreviation for Preliminary SAT . SAT tests measure the same skills and knowledge. Hence SAT is super set of PSAT. Another PSAT is practice SAT. Also National Merit Scholarship Qualifying Test (NMSQT). PSAT/SAT
Imaginary No
A number is an imaginary number when it multiplied by square root of negative no. An imaginary number is the square root of a negative number and does not have a tangible value.”Complex” numbers have two parts, a “real” part (being any “real” number that you’re used to dealing with) and an “imaginary” part (being any number with an […]
Circle theorem
Circles Geometry The measure of an arc of a circle is equal to the measure of the central angle that intercepts the arc. 1. Inscribed angle theorem. The measure of an inscribed angle is equal to one-half the measure of its intercepted arc. Circle Geometry
Properties of indices
Laws of Exponents. Exponents are also called Powers or Indices. The exponent of a number says how many times to use the number in a multiplication. Law of Indices. To manipulate expressions, we can consider using the Law of Indices. These laws only apply to expressions with the same base, for example, 3 4 and 3 2 can be manipulated […]
Quadratics
First of all this post consists of questions of factorisation of quadratics . The method use to find solutions are splitting middle term and another method is formula . We also find the nature of roots of equation. The method is use to find nature is discriminant (D= b2-4ac). Discriminant is also used in formula […]
