Question

show that p(x)= x cube - 3x square + 2x -6

Answer 1

Answer:

Since p(a)= P( b)= P(C)= 0 ...a, b, c are the zeroes of the given polynomial

→(2-a)(2-b)(2- c)

→8 -4(a+ b+ c)+ 2( ab+ bc+ ca)- abc ... ...( i)

We know that sum of zeroes= a+b+c= -B/ A=- - 3/ 1=3

:ab+ b c+ ca= C/ A=2

abc=-D/A=-5

Putting the above values in (i)

Ans comes as +5