Question

If α, β and γ are the zeroes of the polynomial p(x) = x

3 + 2x

2 – 3x + 4, then

(a) α + β + γ = – 2
(b) α β + β γ + α γ = – 3

(c) α β γ = – 4
(d) All are correct​

Answer 1

We have a +b=-= - and 3a b 2 ca ab= = Ifa = 1, then b = 3 and c = 2. ... 9. α + β+γ=-⎛│⎝-⎞│⎠ ⇒ 3-3 + γ = 4 41 ⇒ γ=4 where, α, β and γ are three zeroes. ... (a) Let α =5+ 3, β=5-3 we know, p(x) having zeroes as α, β is given by ... (b) Polynomial is ax3+bx2+ cx+d and zeroes are α, β and γ Let p = α 1 + β 1 + 1 γ ⇒ p = βγ +γα