If m and n are zeroes of the polynomial f (x)=ax*2+bx+c then evaluate 1. 1/m+1/n 2.m/n+n/m

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If the zeroes of the polynomial $x^{3} - 3 x^{2} + x + 1$ are m – n, m and m + n, find m and n.

Q. If

m

and

n

are

+ v e

integers and

m > n

and if

(1 + x)^{m + n} (1 - x)^{m - n}

is expanded as a polynomial in

x

, then the coefficient of

x^{2}

If (x+2) and (x-1) are factors of the polynomial $p (x) = x^{3} + 10 x^{2} + m x + n$ then
(a) $m = 5, n = - 3$
(b) $m = 7, n = - 18$
(c) $m = 17, n = - 8$
(d) $m = 23, n = - 19$

Q. If

x - 2

and

x - \frac{1}{2}

both are the factors of the polynomial

n x^{2} - 5 x + m

, then

m = n = 2

Q. If ^mC₁= ⁿC₂ , then
(a) 2 m = n
(b) 2 m = n (n + 1)
(c) 2 m = n (n − 1)
(d) 2 n = m (m − 1)

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