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Relation between Roots and Coefficients for Quadratic

If r be the r...

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If r be the root of x ^ 2 + 2x + 6 = 0 then find the value of (r + 2)(r + 3)(r + 4)(r + 5)

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r

be a root of the

x^{2} + 2 x + 6 = 0

(r + 2) (r + 3) (r + 4) (r + 5)

r

be a root of the equation

x^{2} + 2 x + 6 = 0

(r + 2) (r + 3) (r + 4) (r + 5)

Let r be a root of the equation $x^{2}$ + 2x + 6 = 0. The value of (r + 2) (r + 3) (r + 4) (r + 5) is equal to.

Q. The greatest value of positive integer which divides

(r + 2) (r + 3) (r + 4) (r + 5) \forall r \in N

Q. If the sum of the series

1 + 2 r + 3 r^{2} + 4 r^{3} + \dots \infty

\frac{9}{4},

then the value of

r

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