POLYNOMIALS [IX]

 

                 YASH   CLASSES

                   POLYNOMIALS     [IX]

  5.  If   x = 0 and x = -1 are the roots of the following

     polynomials f (x) =   a x² - 2bx³ + 3 then find

     the value of   a and b.

 6. If   x = 1 and x = -1 are the roots of the following

     polynomials f (x) = 2 a x² - 2bx³ + 3 then find

     the value of  a and b.

 7. If   x = 2 and x = -1 are the roots of the following

     polynomials f (x) =   a/2 x² - 2bx³ + 3 then find

     the value of a and b.

 8. If   x = 1 and x = -2 are the roots of the following

     polynomials f (x)=   b x² - 2ax³ + 3 then find

     the value of a and b.

 9. If   x = 2 and x = - 2 are the roots of the following

      polynomials f (x) =   b x³ - 2ax⁵ + 3 then find

     the value of a and b.

    10. Find the zero:

  a. x + 5   b. 2x – 5   c.  8x + 2    d. ax + d   e.cx – h

  f. ax       g. 3x – ½    h. 9x + 3     i. 2x        j. t2x – 2

  11. Find the reminder by divided and replace method

 a.   f(x) = 12 x² -  2x³  + 3    ,  q(x) =  x + 1

 b.  f(x) =   x² - x³ + 1         q(x) = x – 1

 c.  f(x) = 5 x⁸   + x³ + 4      q(x) = x + 1/2

 d.  f(x) =   -2 x⁵ + 2x³ - 1    q(x) = x + 2

 e.  f(x) = x² - x³ + 30          q(x) = x - 3

 f.   f(x) =   x⁵ -  2x²  - 8   ,         q(x) =  2x + 1

 g.   f(x) =    x²  + 2x⁵  + 3    ,     q(x) =  5x - 1

 h.   f(x) =  2 x³ -  x⁵  + 7    ,       q(x) =  x - 3

 i.    f(x) =  -5 x³ +7x³  + 5    ,     q(x) =  x +  5

 j.    f(x) =  2 x² +  5x⁵  - 2    ,      q(x) =  x