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Zeroes of a Polynomial

24 For the po...

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24 For the polynomial fx =x+ax+bx+c the sum of two zeroes is 0 then find the relation between a b c

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Q. Find the quadratic polynomial whose zeros are reciprocals of the zeros of the polynomials

f (x) = a x^{2} + b x + c, a \neq 0, c \neq 0

\frac{1}{2}

and 0 are the zeroes of the polynomial

f (x) = 2 x^{3} + a x^{2} + b x + c,

and b + c = 2, then the value of b(c – a) is

f (x)

is a polynomial of degree

< 3,

\frac{f (x)}{(x - a) (x - b) (x - c)} =

Q. If the zeroes of the quadratic polynomial

a x^{2} + b x + c, c > 0

are equal, then

α

β

are the zeroes of the quadratic polynomial

p (x) = a x^{2} + b x + c, (a \neq 0)

= \frac{c}{a}

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Zeroes of a Polynomial

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