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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

$7, 10$

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 the polynomial $x^{2} - 7x + 10$,we have $a = 1$,$b = -7$,and $c = 10$.Sum of the zeros $= -\frac{b}{a} = -\frac{-7}{1} = 7$.Product of the zeros $= \frac{c}{a} = \frac{10}{1} = 10$.Therefore,the sum and the product of the zeros are $7$ and $10$ respectively.

Obtain the sum and the product of the zeros of the following quadratic polynomial without finding the zeros: $x^{2}-7x+10$.

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