Question

find a quadratic polynomial each with the given numbers as the sum and product of its zeros respectively. 0, -1/4​

Answer 1

Answer:

Given -

sum of roots = 0

Product of roots = -1/4

By formula -

${x}^{2} - (sum \: of \: roots)x + (product \: of \: roots)$

${x}^{2} - ( \alpha + \beta )x + ( \alpha \times \beta )$

${x}^{2} - (0 + \frac{ - 1}{4} )x + (0 \times \frac{ - 1}{4} )$

${x}^{2} - \frac{1}{4} x + 0$

on multiplying equation by 4

it gives 4x^2 - 1x +0