Question

Find the quadratic polynomial whose sum and product of zeros are 1/4 and 4
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Answer 1

Answer:

4x^2 -x +16

Step-by-step explanation:

x^2 - (sum of roots)x + (product of roots)

= x^2 -(1/4)x + 4

= 4x^2 -x +16

Answer 2

Sum of zeroes =-b/a=1/4

Product of zeroes =c/a=4

$quadratic \: polynomial = > {x}^{2} - (sum \: of \: zeroes)x + (product \: of \: zeroes) = 0 \\ {x}^{2} - ( \frac{1}{4})x + 4 = 0 \\ {x ^{2} - \frac{1}{4} }x + 4 = 0 \\ 4x ^{2} - x + 16 = 0$