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(D) For a quadratic polynomial of the form $ax^2 + bx + c$,the sum of the zeros is given by $-\frac{b}{a}$ and the product of the zeros is given by $\

Vedclass · Accepted Answer

$-\frac{1}{3}, -\frac{4}{3}$

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(D) For a quadratic polynomial of the form $ax^2 + bx + c$,the sum of the zeros is given by $-\frac{b}{a}$ and the product of the zeros is given by $\frac{c}{a}$.Given the polynomial $3x^2 + x - 4$,we have $a = 3$,$b = 1$,and $c = -4$.Sum of zeros $= -\frac{b}{a} = -\frac{1}{3}$.Product of zeros $= \frac{c}{a} = \frac{-4}{3} = -\frac{4}{3}$.Thus,the sum and product are $-\frac{1}{3}$ and $-\frac{4}{3}$ respectively.

Obtain the sum and the product of the zeros of the following quadratic polynomial without finding the zeros: $3x^2 + x - 4$.

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