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Zeroes of a Polynomial

If the y-coor...

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If the y-coordinate of the vertex of the graph of y = ax 2 + bx + c, a < 0 is zero, then the zero of the quadratic polynomial is equal to ?

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Q. If the zeroes of the quadratic polynomial

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

are equal, then

Q. The zeroes of the quadratic polynomial

a x^{2} + b x + c

and the roots of the quadratic equation

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

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

α

β

are the zeroes of the quadratic polynomial

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

= \frac{c}{a}

α

β

be two zeros of the quadratic polynomial

a x^{2} + b x + c

\frac{α^{2}}{β} + \frac{β^{2}}{α}

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Zeroes of a Polynomial

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