Question 33

$$\alpha, \beta, \gamma, \delta$$ are roots of the polynomial equation $$P(x) = a_4 x^4 + a_3 x^3 + a_2 x^2 + a_1 x + a_0 = 0$$. Then

Solution

For a quartic, $$\sum \alpha = -\frac{a_3}{a_4}$$, $$\sum \alpha\beta = \frac{a_2}{a_4}$$, $$\sum \alpha\beta\gamma = -\frac{a_1}{a_4}$$ and $$\alpha\beta\gamma\delta = \frac{a_0}{a_4}$$. So a and b are wrong (sign and scaling), while options c and d are both correct.

Was this solution helpful?

Get AI Help

50,000+ JEE Students Trusted Our Score Calculator

Predict your JEE Main percentile, rank & performance in seconds

Ask AI