3.Let ax^3+bx^2+ cx + d be a cubic polynomial. If its leading coefficient is unity such that p(2)=5,p(3)=4and its curve passes through the origin, then find the value of 3(b +c+ d)

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P (x) = x^{4} + a x^{3} + b x^{2} + c x + d

P (1) = 1, P (2) = 8, P (3) = 27, P (4) = 64

P (5)

5

a x^{3} + b x^{2} + c x + d = 0

y = a x^{3} + b x^{2} + c x + d

a, b, c

d

P(x) = x⁴ + ax³ + bx² + cx+ d and p(1) = p(2) = p(3) =0 then find the value of p(4) + p(0).

α, β, γ

a x^{3} + b x^{2} + c x + d

= \frac{c}{a}

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