Algebra - Math Mitra

How to find Square root of a complex number

by Bina singhJuly 11, 2021December 11, 20210

How to find Square root of a complex number A number of the form where and is called a complex number where is called as real part and is called imaginary part of complex number. To find the square root of a complex number, we will assume that . Then square both the sides and compare real and imaginary part to find the value of and , which will give us the square root. Formula for finding square root of a complex number: The square root of is for and …

Polynomials Worksheet Grade 9 with PDF

by Bina singhJanuary 5, 2021September 15, 20210

Polynomials Worksheet 1. Which of the following is a true statement? (a) is a monomial (b) is a linear polynomial (c) x+1 is monomial (d) is a binomial 2. A quadratic polynomial whose product and sum of zeroe are and …

Relationship between Zeros and coefficients of a Polynomial

by Bina singhJanuary 1, 2021January 30, 20210

Relationship between Zeros and coefficients of a Polynomial zeros of a polynomial : A real number is called a zero of the polynomial , if . If “” is a zero of a polynomial , then by factor theorem is a factor of a given polynomial. The relation between the zeros and the coefficients of a polynomial is given below. Linear Polynomial: The linear polynomial is an expression , in which the degree of the polynomial is 1 . The general form of a linear polynomial is . Here, is a variable, “a” and “b” are constant. Let be …

Remainder Theorem

by Bina singhDecember 28, 2020January 21, 20210

Zeros of polynomials: The value of a polynomial at is obtained by putting in and is denoted by . e.g. Find the value of at . Sol. On putting in given polynomial , we get This implies . Thus value of at is 12. We say that a zero of a polynomial is a number such that . It means is zero of a polynomial if the value of that polynomial at is zero. The zeros of polynomials is obtained by equating the given polynomial . We say is a polynomial equation and is …

Polynomials : Definition, Types of polynomials and Examples, Degree of a polynomial

by Bina singhDecember 14, 2020January 30, 20211

Polynomial: An algebraic expression is an expression which is made up of variables and constants along with some algebraic operations. The several parts of an algebraic expression seperated by + or – operations are called the terms of the expression. e.g. (i) is an algebraic expression with three terms and three variables . (ii) is an algebraic expression with three terms and two variables . (iii) is an algebraic expression with two terms and one variable . (iv) is an algebraic expression with one terms and one variable. In an algebraic expression , if the …