Question

2. Find a quadratic polynomial each with the given numbers as the sum and product of its
zeroes respectively.

1) 1/ 4 , -1
2) √2, 1/3​

Answer 1

Answer:

1.

$\alpha + \beta = 1 \div 4$

$\alpha \beta = - 1$

then insert them in the formula ,

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

2. here ,

$\alpha + \beta = \sqrt{2}$

$\alpha \beta = 1 \div 3$