Question

Find the quadratic polynomial sum and product of whose zeroes and 1 and 1/4​

Answer 1

Answer:

${x}^{2} - (sum \: of \: roots) x+ (product \: of \: roots) = 0 \\ {x}^{2} - ( 1 + \frac{1}{4} )x + (1 \times \frac{1}{4} ) = 0 \\ {x}^{2} - \frac{5}{4}x + \frac{1}{4} = 0 \\ multiply \: 4 \: to \: both \: side \\ as \: you \: wish \\ 4 {x}^{2} - 5x + 1 = 0$

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