Suppose that α, β and γ are the roots of the cubic equationx3 − 4x2 + 3x + 1 = 0.

Let α, β, γ be the three  roots of the equation x3+bx+c=0 if βγ=1=−α then b3+2c3−3α3−6β3−8γ3 is equal to

Find all the roots α, β, γ of the cubicequation 3 7 6 0x x− − = . Also, find theequation whose roots are α + β, β + γand α + γ

12. If α and β are the roots of the equation 2x2 − x − 4 = 0. Find the equation whose roots are α − βα and β − αβ

If α, β are roots of x2 – 3ax + a2 = 0, find the value(s) of a if α2 + β2 = 74 .

If  α, β  and  γ  are the zeros of the polynomial  2x3 − 6x2 − 4x + 30 . then the value of  (αβ + βγ + γα)  isSelect an answerA–2B2C5D–30