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Polynomials
Properties of Polynomials - Addition and subtraction of two polynomials mean combining like terms. We can perform multiplication and division al..
Polynomial
An algebraic expression of the form a 0 +a 1 x+a 2 x 2 +.+a n x n where a 0 , a 1 , a 2 ,.a n are real numbers, n is a positive integer is called a polynomial in..
The degree of a polynomial
If a o 0, then the polynomial P(x) or f(x) is of degree 'n' i.e., it is the highest power of the variable x in the rational and integral polynomial. A polynomial of degree 2 is called a quadratic polynomial..
Factorisation of Polynomials
You know that any polynomial of the form p(a) can also be written as If the remainder is zero, then p(a) = g(a) x h(a). That is, the polynomial p(a) is a product of two other polynomials g(a) and h(a). For example, 3a + 6a 2 = 3a x (1 + 2a). It may be possible to expre..
You know that any polynomial of the form p(a) can also be written as If the remainder is zero, then p(a) = g(a) x h(a). That is, the polynomial p(a) is a product of two other polynomials g(a) and h(a). For example, 3a + 6a 2 = 3a x (1 + 2a). It may be possible to expre..Properties of Polynomials
Addition and subtraction of two polynomials mean combining like terms. We can perform multiplication and division al..
Polynomials Summary
Polynomial - An algebraic expression of the form a 0 +a 1 x+a 2 x 2 +.+a n x n where a 0 , a 1 , a 2 ,.a n are real numbers, n is a positive integer is called a polynomial in..
Polynomial equation
An equation in a single variable is called a polynomial equation of degree 'n' if it is an equation of the form In other words, an equation is a statement of equality between two algebraic expressions. It is satisfied by a limited number of values of the variabl..
An equation in a single variable is called a polynomial equation of degree 'n' if it is an equation of the form In other words, an equation is a statement of equality between two algebraic expressions. It is satisfied by a limited number of values of the variabl..Polynomials Introduction
Introduction - You are familiar with factors and products in the case of numbers. For example, 8 is the product of 4 and 2. 4 and 2 are called the products of 8 . Similarly, the algebraic expression a x b x c = abc can be written as 1.a.b.c or 1.ab.c or 1.bc.a or 1.ac.b or 1.abc. 1, a, b, c, ab, bc..
Introduction - You are familiar with factors and products in the case of numbers. For example, 8 is the product of 4 and 2. 4 and 2 are called the products of 8 . Similarly, the algebraic expression a x b x c = abc can be written as 1.a.b.c or 1.ab.c or 1.bc.a or 1.ac.b or 1.abc. 1, a, b, c, ab, bc..Degree and Types of Polynomials
In case of a polynomial of one variable the highest power of the variable is called the degree of the polynomial. 3y-7y 3 has degree 3 and..
Methods of factorising polynomials
There are various methods of factorising a polynomial. They are, Factorisation by dividing the expression by the HCF of the terms of the given expression. Factorisation by grouping the terms of the expression. Factorisation using identitie..
There are various methods of factorising a polynomial. They are, Factorisation by dividing the expression by the HCF of the terms of the given expression. Factorisation by grouping the terms of the expression. Factorisation using identitie.. Result
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