classes

22
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….

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22
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

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22
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

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22
Jul
Examples 4 to 6

(4) Discuss the nature of the roots of the following equations :

(i) 4x2  +  15x  –  25  =  0

(ii) 4x2  –  12x  +  1  =  0

(iii) 9x2  +  6x  +  1  = …

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22
Jul
Examples 1 to 3

Examples  :

(1) Solve  the equations :

(i) 3x2  +  5x  +  2  =  0

(ii) 3x2  –  5x  +  2  =  0

(iii)  3x2  +  5x  –  2  =  0

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