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(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

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

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 $4x^{2} - 4x + 1$,we have $a = 4$,$b = -4$,and $c = 1$.Sum of the zeros $= -\frac{b}{a} = -\frac{-4}{4} = 1$.Product of the zeros $= \frac{c}{a} = \frac{1}{4}$.Thus,the sum is $1$ and the product is $\frac{1}{4}$.

Obtain the sum and the product of the zeros of the following quadratic polynomial without finding the zeros: $4x^{2} - 4x + 1$.

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