Question

find the quadratic polynomial whose sum and product of zeroes, respectively are:(1/4,-1)and(0,Root5)

Answer 1

→we know that,

★ sum of zeroes= -b/a

★ product of zeroes= c/a

→ acc to question,

(ANS:1)

$\alpha + \beta = \frac{ - b}{a} \\ \\ \frac{1}{4} = \frac{ - b}{a} \\ \\ \alpha \times \beta = \frac{c}{a} \\ \\ - 1 \times \frac{4}{ 4} = \frac{ - 4}{4} = \frac{c}{a}$

On comparing it with ax^2+bx+c, we have,


$4 {x}^{2} - x - 4$
(ANS:2)

$\alpha + \beta = \frac{ - b}{a} \\ \\ 0 = \frac{ - b}{a} \\ \\ \alpha \times \beta = \frac{c}{a} \\ \\ \sqrt{5} = \frac{c}{a}$

→On comparing it with ax^2+bx+c, we have,

${x}^{2} + \sqrt{5}$
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