Question

08106 mind all the senos g if you knowo that hoo 205-323 - 302 = 600 -2, of its rexos are t an HINT : As I Is a zero of plx) then (224) is a polynomial

11th - 12th Class

Maths

Solution

165

4.0 (1 ratings)

( p(x)=2 x^{4}-3 x^{3}-3 x^{2}+6 x-2 ) ( x=frac{1}{2}, x=1 ) is solution So ( (2 x-1)=0 ) and ( (x-1)=0 ) taking ( (x-1) ) outin common ( begin{aligned} p(x) &=(x-1)left(2 x^{3}-x^{2}-4 x+2right) p(x) &=(x-1)(2 x-1)left(x^{2}-2right) &=(x-1)(2 x-1)(x-2)(x+2) x=1 & frac{x-frac{1}{2}}{4} frac{x=2}{text { Othe raos }} end{aligned} )