Polynomial Identities formed from roots (1 Viewer)

[ADrew]

"If one root of the polynomial x^3-bx^2+cx-d=0 is equal to the product of the other two, show that (c+d)^2=d(b+1)^2 "


Btw this is question 16)a) from Year 12 Cambridge extension 1, exercise 4f

 

[Drongoski]

"If one root of the polynomial x^3-bx^2+cx-d=0 is equal to the product of the other two, show that (c+d)^2=d(b+1)^2 "


Btw this is question 16)a) from Year 12 Cambridge extension 1, exercise 4f

So roots are:

 

[ADrew]

Thanks heaps!