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Quadratic Polynomial and Its Graphical Representation

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How does the change in sign of b takes place in quadratic polynomial ax^2+bx+c = 0 ??

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Q. The sign of the quadratic polynomial

a x^{2} + b x + c

is always positive, if?

If both the zeroes of a quadratic polynomial ax²+bx+c are equal and opposite in sign, find b.

Zeroes of the quadratic polynomial ax² + bx + c and roots of the quadratic equation ax² + bx + c = 0 are__________

Q. Question 9
If the zeroes of the quadratic polynomial

a x 2 + b x + c, w h e r e c \neq 0

are equal then
(A) c and a have opposite signs
(B) c and b have opposite signs
(C) c and a have the same sign
(D) c and b have the same sign

Q. Find the signs of a, b and c in given graph of polynomial,

f (x) = a x^{2} + b x + c, w h e r e a \neq 0.

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