ganit

Parin Sir > ganit

Jul

Posted in: Index of Rational Expression,

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Jul

Examples

(1) What should be added to 3x² – 5x + 9 to get x² – 2x – 3 ?

Soln. Let, 3x² – 5x + 9 + p(x) = x² – 2x – 3

$\therefore$

Posted in: Examples,

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Jul

Results on Rational Expressions

☼ Results on Rational Expressions :

(i) Sum ( or difference or product ) of two rational expressions is a rational expression.

(ii) Rational expressions satisfies commutative, associative and distributive laws.

(iii) 0 …

Posted in: Results on Rational Expressions,

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Jul

Rational Expression

☼ Rational Expression : An expression of the form $\frac{p(x)}{q(x)}$ , where p(x) and q(x) are a polynomials and q(x)

Posted in: Rational Expression,

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Jul

Rational Expression

☼ Degree and Coefficient : The highest index of the given polynomial is called the degree of the polynomial and the coefficient of highest index term is called the coefficient of the given polynomial.

e.g….

Posted in: Rational Expression,

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Jul

Index

1. Methods to solve Quadratic Equation

2. Types of roots of a Quadratic Equation

Posted in: Index of Quadratic Equation,

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Jul

Examples 11 and 12

(11) Find the set of values of k for which 2x² + 20x + k can be factorized into real linear factors.

Soln. 2x² + 20x + k will be factorizable only when D $\... </p> <div class=$

Posted in: Examples 11 and 12,

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Jul

Examples 7 to 9

(7) Find the values of m for which 16x² + mx + 9 = 0 has both equal roots.

Soln. For equal roots, we must have

D = 0.

$\therefore$

Posted in: Examples 7 to 9,

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