Saturday, October 29, 2016

Mathematics, Polynomial MEMORIZE BY HEART THESE RULES

    If  p,q,r are the roots of the polynomial   a x 3 + b x 2 + c x - d  =  0

Then   (x - p) =0
           (x - q) =0
           (x - r) =  0

p + q + r = -b /a
p q +q r + r p  =    c/a

p q r =  d/a


Let us suppose  the equation

 x3 - 9 x2 + 26 x  -  24 = 0    and three roots are  2,3,4


sum of the three roots    2 +3 +4 = 9

from the equation  - (-9/1) = 9


2 *3 + 3*4+4*2 =  26
from the equation  c/a = 26

Product of the three roots = 2*3*4 = 24

from the equation  -(-24/1)= 24

ABOVE RULES ARE USED IN SO MANY SUMS . MEMORIZE AND PRACTICE SINCERELY

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