Question

If (x-1) (x-2) are factor of x3+10x2+px+q find p and q

Answer 1

(x-1)(x-2)=0 .. from here x= 1nd 2.put this value in x³+10x²+px+q...
when x=1 then p+q= -11......(1)
when x= 2 then 2p+q=-48.......(2)
slve these eqns u will get..
p= -37 ...put this value in eqn ....(1)
u will get q= 26.