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Question

(A) 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

$\frac{7}{6}, -\frac{1}{2}$

Vedclass · Answer

(A) 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 polynomial: $6x^{2} - 7x - 3$.Here,$a = 6$,$b = -7$,and $c = -3$.Sum of zeros = $-\frac{b}{a} = -(\frac{-7}{6}) = \frac{7}{6}$.Product of zeros = $\frac{c}{a} = \frac{-3}{6} = -\frac{1}{2}$.Thus,the sum and product are $\frac{7}{6}$ and $-\frac{1}{2}$ respectively.

Obtain the sum and the product of the zeros of the quadratic polynomial $6x^{2} - 7x - 3$ without finding the zeros.

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